# 73Q

 Question 1 of 40 0.0/ 2.5 Points

z = 1.8 for Ha:  µ >  claimed value. What is the P-value for the test?

 A. 0.9641 B. 3.59 C. 96.41 D. 0.0359

 Question 2 of 40 0.0/ 2.5 Points

A study of a brand of “in the shell peanuts” gives the following results:

A significant event at the 0.01 level is a fan getting a bag with how many peanuts?

 A. 30 peanuts B. 25 or 30 peanuts C. 25 or 55 peanuts D. 25 peanuts

 Question 3 of 40 0.0/ 2.5 Points

In the past, the mean running time for a certain type of flashlight battery has been 8.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:

H0 : µ  = 8.0 hours

Ha : µ  > 8.0 hours

Explain the meaning of a Type II error.

 A. Concluding that µ > 8.0 hours when in fact µ > 8.0 hours B. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ > 8.0 hours C. Concluding that µ > 8.0 hours D. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ = 8.0 hours

 Question 4 of 40 0.0/ 2.5 Points

If a fan purchased a bag with 30 peanuts, what is the lowest level at which this would be a significant event?

 A. 0.05 B. 0.025 C. 0.01 D. It is not significant at any of the levels given

 Question 5 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?

 A. Greater than or equal to 0.10 B. Less than or equal to 0.05 C. Less than or equal to 0.10 D. Greater than or equal to 0.05

 Question 6 of 40 0.0/ 2.5 Points

In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The mean duration for a random sample of 50 calls originating in the town was 8.6 minutes. Does the data provide sufficient evidence to conclude that the mean call duration, µ, is different from the 1990 mean of 9.4 minutes? Perform the appropriate hypothesis test using a significance level of 0.01. Assume that = 4.8 minutes.

 A. With a z of -1.2 there is sufficient evidence to conclude that the mean value has changed from the 1990 mean of 9.4 minutes. B. With a P-value of 0.2302 there is not sufficient evidence to conclude that the mean value is less than the 1990 mean of 9.4 minutes. C. With a P-value of 0.2302 there is sufficient evidence to conclude that the mean value is less than the 1990 mean of 9.4 minutes. D. With a z of –1.2 there is not sufficient evidence to conclude that the mean value has changed from the 1990 mean of 9.4 minutes.

 Question 7 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 5% significance level. Which of the z-scores below is the smallest one that leads to rejection of the null hypothesis?

 A. 1.12 B. 1.48 C. 1.84 D. 2.15

 Question 8 of 40 0.0/ 2.5 Points

without computing a P-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.

 A. is less than 1 standard deviation above the claimed mean. B. is more than 4 standard deviations above the claimed mean. C. is less than 1 standard deviation above the claimed mean. D. is more than 4 standard deviations above the claimed mean.

 Question 9 of 40 0.0/ 2.5 Points

The principal of a middle school claims that annual incomes of the families of the seventh-graders at his school vary more than the annual incomes of the families of the seventh-graders at a neighboring school, which have variation described by  = \$13,700. Assume that a hypothesis test of the claim has been conducted and that the conclusion of the test was to reject the null hypothesis. Identify the population to which the results of the test apply.

 A. The current seventh graders at the principal’s school B. Seventh graders’ families at the school with a standard deviation of \$13,700 C. All of the families of the class of seventh graders at the principal’s school D. All seventh graders’ families

 Question 10 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 0.10 significance level. What is the P-value required to reject the null hypothesis?

 A. Greater than or equal to .010 B. Greater than or equal to 0.05 C. Less than or equal to 0.10 D. Less than or equal to 0.05

 Question 11 of 40 0.0/ 2.5 Points

In 1990, the average duration of long-distance telephone calls originating in one town was 9.3 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.3 minutes. Formulate the null and alternative hypotheses for the study described.

 A. Ho: µ = 9.3 minutes     H : µ < 9.3 minutes B. Ho: µ = 9.3 minutes     H : µ > 9.3 minutes C. Ho: µ = 9.3 minutes      H : µ  9.3 minutes D. Ho: µ  9.3 minutes     H : µ = 9.3 minutes

 Question 12 of 40 0.0/ 2.5 Points

A poll of 1,068 adult Americans reveals that 52% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 significance level, test the claim that more than half of all voters prefer the Democrat.

 A. Reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats. B. Do not reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats. C. Reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats. D. Do not reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats.

 Question 13 of 40 0.0/ 2.5 Points

At one school, the mean amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.

 A. Ho: µ = 18.4 hours     H : µ  18.4 hours B. Ho: µ = 18.4 hours     H : µ < 18.4 hours C. Ho: µ  18.4 hours     H : µ < 18.4 hours D. Ho: µ = 18.4 hours     H : µ > 18.4 hours

 Question 14 of 40 0.0/ 2.5 Points

A psychologist claims that more than 29 percent of the professional population suffers from problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.

 A. There is sufficient evidence to support the claim that the true proportion is less than 29 percent. B. There is not sufficient evidence to support the claim that the true proportion is greater than 29 percent. C. There is sufficient evidence to support the claim that the true proportion is equal to 29 percent. D. There is sufficient evidence to support the claim that the true proportion is greater than 29 percent.

 Question 15 of 40 0.0/ 2.5 Points

In the past, the mean running time for a certain type of flashlight battery has been 9.8 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:

H0 : µ  = 9.8 hours

Ha : µ  > 9.8 hours

Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean running time has not increased.

 A. Type I error B. Type II error C. Correct decision D. Can not be determined from this information

 Question 16 of 40 0.0/ 2.5 Points

A consumer group claims that the mean running time for a certain type of flashlight battery is not the same as the manufacturer’s claims. Determine the null and alternative hypotheses for the test described.

 A. H0: µ = Manufacturer’s claims     Ha: µ < Manufacturer’s claims B.   H0: µ = Manufacturer’s claims    Ha: µ  Manufacturer’s claims C. H0: µ = Manufacturer’s claims     Ha: µ > Manufacturer’s claims D. H0: µ  Manufacturer’s claims     Ha: µ = Manufacturer’s claims

 Question 17 of 40 0.0/ 2.5 Points

The owner of a football team claims that the average attendance at home games is over 3000, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.

 A. There is sufficient evidence to support the claim that the mean attendance is greater than 3000. B. There is sufficient evidence to support the claim that the mean attendance is equal to 3000. C. There is not sufficient evidence to support the claim that the mean attendance is greater than 3000. D. There is not sufficient evidence to support the claim that the mean attendance is less than 3000.

 Question 18 of 40 0.0/ 2.5 Points

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.

 A. H0: p = 0.001     Ha: p > 0.001 B. H0: p = 0.001      Ha: p < 0.001 C. H0: p > 0.001     Ha: p = 0.001 D. H0: p < 0.001     Ha: p = 0.001

 Question 19 of 40 0.0/ 2.5 Points

A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the conclusion of the hypothesis test assuming that the results of the sampling lead to rejection of the null hypothesis.

 A. Conclusion: Support the claim that the mean is equal to 16 ounces. B. Conclusion: Support the claim that the mean is greater than 16 ounces. C. Conclusion: Support the claim that the mean is not equal to 16 ounces. D. Conclusion: Support the claim that the mean is less than 16 ounces.

 Question 20 of 40 0.0/ 2.5 Points

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Find the P-value for a test of the claim that the proportion with lawn mowers in Omaha is higher than 65%. Among 497 randomly selected homes in Omaha, 340 had one or more lawn mowers. Use Table 5.1 to find the best answer.

 A. 0.0559 B. 0.1118 C. 0.0252 D. 0.0505

 Part 2 of 2 – 0.0/ 50.0 Points

 Question 21 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100

Find the value of the X2 statistic for the data above.

 A. 1.463 B. 1.852 C. 1.947 D. 1.949

 Question 22 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed.

Data from this test resulted in a sample mean of 163.2 yards with a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below to solve this problem.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 160 yards. B. Reject the null hypothesis. The data does provide sufficient evidence that the average distance is greater than 160 yards. C. t= 1.2334; Critical value = 1.992 D. Insufficient information to answer this question.

 Question 23 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed.

Data from this test had a sample mean of 171.6 yards with a sample standard deviation of 2.4 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Accept the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. B. Accept the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards. C. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. D. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards.

 Question 24 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100

State the null and alternative hypothesis for the test associated with this data.

 A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way. B. H0:  Colorblindness and gender are dependent characteristics. Ha:  Colorblindness and gender are related in some way. C. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way. D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way.

 Question 25 of 40 0.0/ 2.5 Points

Which of the following statements is true?

 A. The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. B. The p distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. C. The t distribution cannot be used when finding a confidence interval for the population mean whenever the sample size is small. D. The p distribution cannot be used when finding a confidence interval for the sample mean whenever the sample size is small.

 Question 26 of 40 0.0/ 2.5 Points

A large test statistic F tells us that the sample means __________ the data within the individual samples, which would be unlikely if the populations means really were equal (as the null hypothesis claims).

 A. differ more than B. differ less than C. are equal to D. do not vary with

 Question 27 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed. State the null and alternative hypotheses for this test.

 A. H0: µ > 170; Ha: µ = 170 B. H0: µ < 170; Ha: µ = 170 C. H0: µ = 170; Ha: µ > 170 D. H0: µ = 160; Ha: µ > 160

 Question 28 of 40 0.0/ 2.5 Points

The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? Explain your answer.

 A. Smaller. E decreases as the square root of the sample size gets larger. B. Smaller. E increases as the square root of the sample size gets larger. C. Larger. E decreases as the square root of the sample size gets larger. D. Larger. E increases as the square root of the sample size gets larger.

 Question 29 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.

The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 4.613, state your conclusion about the relationship between gender and colorblindness.

 A. Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. B. Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. C. Do not Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. D. Do not Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

 Question 30 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.

The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2  statistic is 3.179, state your conclusion about the relationship between gender and colorblindness.

 A. Do not reject H0. B. Reject H0. C. There is sufficient evidence to support the claim that gender and colorblindness are not related. D. There is not sufficient evidence to accept or reject H0.

 Question 31 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error?

 A. 4.6 B. 4.4 C. 4.2 D. 5.6

 Question 32 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100

If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness.

 A. Colorblind Female 4.8; Not Colorblind Female 55.2 B. Colorblind Female 3.2; Not Colorblind Female 36.8 C. Colorblind Female 4.8; Not Colorblind Female 35.2 D. Colorblind Female 3.8; Not Colorblind Female 36.2

 Question 33 of 40 0.0/ 2.5 Points

The __________ test statistic is for the one-way analysis of variance.

 A. P-Value B. t C. F D. p

 Question 34 of 40 0.0/ 2.5 Points

Which of the following statements is true?

 A. The p distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. B. The t distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. C. The t distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. D. The p distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.

 Question 35 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error?

 A. 2.0 B. 2.7 C. 3.0 D. 4.0

 Question 36 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 25.2. What is the margin of error?

 A. 3.9 B. 4.8 C. 4.9 D. 3.7

 Question 37 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 180 yards when hit with his 5-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 7 times at the required speed.

Data from this test resulted in a sample mean of 184.2 yards and a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. B. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. C. Do not reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. D. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards.

 Question 38 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 24.8. What is the margin of error?

 A. 4.4 B. 4.6 C. 4.8 D. 5.0

 Question 39 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed. State the null and alternative hypotheses for this test.

 A. H0: µ = 160; Ha: µ > 150 B. H0: µ = 150; Ha: µ > 150 C. H0: µ = 160; Ha: µ > 160 D. H0: µ = 140; Ha: µ > 160

 Question 1 of 40 0.0/ 2.5 Points

z = 1.8 for Ha:  µ >  claimed value. What is the P-value for the test?

 A. 0.9641 B. 3.59 C. 96.41 D. 0.0359

 Question 2 of 40 0.0/ 2.5 Points

A study of a brand of “in the shell peanuts” gives the following results:

A significant event at the 0.01 level is a fan getting a bag with how many peanuts?

 A. 30 peanuts B. 25 or 30 peanuts C. 25 or 55 peanuts D. 25 peanuts

 Question 3 of 40 0.0/ 2.5 Points

In the past, the mean running time for a certain type of flashlight battery has been 8.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:

H0 : µ  = 8.0 hours

Ha : µ  > 8.0 hours

Explain the meaning of a Type II error.

 A. Concluding that µ > 8.0 hours when in fact µ > 8.0 hours B. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ > 8.0 hours C. Concluding that µ > 8.0 hours D. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ = 8.0 hours

 Question 4 of 40 0.0/ 2.5 Points

If a fan purchased a bag with 30 peanuts, what is the lowest level at which this would be a significant event?

 A. 0.05 B. 0.025 C. 0.01 D. It is not significant at any of the levels given

 Question 5 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?

 A. Greater than or equal to 0.10 B. Less than or equal to 0.05 C. Less than or equal to 0.10 D. Greater than or equal to 0.05

 Question 6 of 40 0.0/ 2.5 Points

In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The mean duration for a random sample of 50 calls originating in the town was 8.6 minutes. Does the data provide sufficient evidence to conclude that the mean call duration, µ, is different from the 1990 mean of 9.4 minutes? Perform the appropriate hypothesis test using a significance level of 0.01. Assume that = 4.8 minutes.

 A. With a z of -1.2 there is sufficient evidence to conclude that the mean value has changed from the 1990 mean of 9.4 minutes. B. With a P-value of 0.2302 there is not sufficient evidence to conclude that the mean value is less than the 1990 mean of 9.4 minutes. C. With a P-value of 0.2302 there is sufficient evidence to conclude that the mean value is less than the 1990 mean of 9.4 minutes. D. With a z of –1.2 there is not sufficient evidence to conclude that the mean value has changed from the 1990 mean of 9.4 minutes.

 Question 7 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 5% significance level. Which of the z-scores below is the smallest one that leads to rejection of the null hypothesis?

 A. 1.12 B. 1.48 C. 1.84 D. 2.15

 Question 8 of 40 0.0/ 2.5 Points

without computing a P-value, determine whether the alternate hypothesis is supported and give a reason for your conclusion.

 A. is less than 1 standard deviation above the claimed mean. B. is more than 4 standard deviations above the claimed mean. C. is less than 1 standard deviation above the claimed mean. D. is more than 4 standard deviations above the claimed mean.

 Question 9 of 40 0.0/ 2.5 Points

The principal of a middle school claims that annual incomes of the families of the seventh-graders at his school vary more than the annual incomes of the families of the seventh-graders at a neighboring school, which have variation described by  = \$13,700. Assume that a hypothesis test of the claim has been conducted and that the conclusion of the test was to reject the null hypothesis. Identify the population to which the results of the test apply.

 A. The current seventh graders at the principal’s school B. Seventh graders’ families at the school with a standard deviation of \$13,700 C. All of the families of the class of seventh graders at the principal’s school D. All seventh graders’ families

 Question 10 of 40 0.0/ 2.5 Points

A two-tailed test is conducted at the 0.10 significance level. What is the P-value required to reject the null hypothesis?

 A. Greater than or equal to .010 B. Greater than or equal to 0.05 C. Less than or equal to 0.10 D. Less than or equal to 0.05

 Question 11 of 40 0.0/ 2.5 Points

In 1990, the average duration of long-distance telephone calls originating in one town was 9.3 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.3 minutes. Formulate the null and alternative hypotheses for the study described.

 A. Ho: µ = 9.3 minutes     H : µ < 9.3 minutes B. Ho: µ = 9.3 minutes     H : µ > 9.3 minutes C. Ho: µ = 9.3 minutes      H : µ  9.3 minutes D. Ho: µ  9.3 minutes     H : µ = 9.3 minutes

 Question 12 of 40 0.0/ 2.5 Points

A poll of 1,068 adult Americans reveals that 52% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 significance level, test the claim that more than half of all voters prefer the Democrat.

 A. Reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats. B. Do not reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats. C. Reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats. D. Do not reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats.

 Question 13 of 40 0.0/ 2.5 Points

At one school, the mean amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.

 A. Ho: µ = 18.4 hours     H : µ  18.4 hours B. Ho: µ = 18.4 hours     H : µ < 18.4 hours C. Ho: µ  18.4 hours     H : µ < 18.4 hours D. Ho: µ = 18.4 hours     H : µ > 18.4 hours

 Question 14 of 40 0.0/ 2.5 Points

A psychologist claims that more than 29 percent of the professional population suffers from problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.

 A. There is sufficient evidence to support the claim that the true proportion is less than 29 percent. B. There is not sufficient evidence to support the claim that the true proportion is greater than 29 percent. C. There is sufficient evidence to support the claim that the true proportion is equal to 29 percent. D. There is sufficient evidence to support the claim that the true proportion is greater than 29 percent.

 Question 15 of 40 0.0/ 2.5 Points

In the past, the mean running time for a certain type of flashlight battery has been 9.8 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:

H0 : µ  = 9.8 hours

Ha : µ  > 9.8 hours

Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean running time has not increased.

 A. Type I error B. Type II error C. Correct decision D. Can not be determined from this information

 Question 16 of 40 0.0/ 2.5 Points

A consumer group claims that the mean running time for a certain type of flashlight battery is not the same as the manufacturer’s claims. Determine the null and alternative hypotheses for the test described.

 A. H0: µ = Manufacturer’s claims     Ha: µ < Manufacturer’s claims B.   H0: µ = Manufacturer’s claims    Ha: µ  Manufacturer’s claims C. H0: µ = Manufacturer’s claims     Ha: µ > Manufacturer’s claims D. H0: µ  Manufacturer’s claims     Ha: µ = Manufacturer’s claims

 Question 17 of 40 0.0/ 2.5 Points

The owner of a football team claims that the average attendance at home games is over 3000, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms.

 A. There is sufficient evidence to support the claim that the mean attendance is greater than 3000. B. There is sufficient evidence to support the claim that the mean attendance is equal to 3000. C. There is not sufficient evidence to support the claim that the mean attendance is greater than 3000. D. There is not sufficient evidence to support the claim that the mean attendance is less than 3000.

 Question 18 of 40 0.0/ 2.5 Points

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.

 A. H0: p = 0.001     Ha: p > 0.001 B. H0: p = 0.001      Ha: p < 0.001 C. H0: p > 0.001     Ha: p = 0.001 D. H0: p < 0.001     Ha: p = 0.001

 Question 19 of 40 0.0/ 2.5 Points

A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the conclusion of the hypothesis test assuming that the results of the sampling lead to rejection of the null hypothesis.

 A. Conclusion: Support the claim that the mean is equal to 16 ounces. B. Conclusion: Support the claim that the mean is greater than 16 ounces. C. Conclusion: Support the claim that the mean is not equal to 16 ounces. D. Conclusion: Support the claim that the mean is less than 16 ounces.

 Question 20 of 40 0.0/ 2.5 Points

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Find the P-value for a test of the claim that the proportion with lawn mowers in Omaha is higher than 65%. Among 497 randomly selected homes in Omaha, 340 had one or more lawn mowers. Use Table 5.1 to find the best answer.

 A. 0.0559 B. 0.1118 C. 0.0252 D. 0.0505

 Part 2 of 2 – 0.0/ 50.0 Points

 Question 21 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100

Find the value of the X2 statistic for the data above.

 A. 1.463 B. 1.852 C. 1.947 D. 1.949

 Question 22 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed.

Data from this test resulted in a sample mean of 163.2 yards with a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below to solve this problem.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 160 yards. B. Reject the null hypothesis. The data does provide sufficient evidence that the average distance is greater than 160 yards. C. t= 1.2334; Critical value = 1.992 D. Insufficient information to answer this question.

 Question 23 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed.

Data from this test had a sample mean of 171.6 yards with a sample standard deviation of 2.4 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Accept the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. B. Accept the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards. C. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 170 yards. D. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 170 yards.

 Question 24 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 8 52 60 Female 2 38 40 Total 10 90 100

State the null and alternative hypothesis for the test associated with this data.

 A. H0: Colorblindness and gender are dependent characteristics. Ha: Colorblindness and gender are not related in any way. B. H0:  Colorblindness and gender are dependent characteristics. Ha:  Colorblindness and gender are related in some way. C. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are not related in any way. D. H0: Colorblindness and gender are independent characteristics. Ha: Colorblindness and gender are related in some way.

 Question 25 of 40 0.0/ 2.5 Points

Which of the following statements is true?

 A. The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. B. The p distribution can be used when finding a confidence interval for the population mean whenever the sample size is small. C. The t distribution cannot be used when finding a confidence interval for the population mean whenever the sample size is small. D. The p distribution cannot be used when finding a confidence interval for the sample mean whenever the sample size is small.

 Question 26 of 40 0.0/ 2.5 Points

A large test statistic F tells us that the sample means __________ the data within the individual samples, which would be unlikely if the populations means really were equal (as the null hypothesis claims).

 A. differ more than B. differ less than C. are equal to D. do not vary with

 Question 27 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 12 times at the required speed. State the null and alternative hypotheses for this test.

 A. H0: µ > 170; Ha: µ = 170 B. H0: µ < 170; Ha: µ = 170 C. H0: µ = 170; Ha: µ > 170 D. H0: µ = 160; Ha: µ > 160

 Question 28 of 40 0.0/ 2.5 Points

The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation did not change, would the margin of error be larger or smaller than 9.3? Explain your answer.

 A. Smaller. E decreases as the square root of the sample size gets larger. B. Smaller. E increases as the square root of the sample size gets larger. C. Larger. E decreases as the square root of the sample size gets larger. D. Larger. E increases as the square root of the sample size gets larger.

 Question 29 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.

The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2 statistic is 4.613, state your conclusion about the relationship between gender and colorblindness.

 A. Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related. B. Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. C. Do not Reject H0. There is sufficient evidence to support the claim that gender and colorblindness are related. D. Do not Reject H0. There is not sufficient evidence to support the claim that gender and colorblindness are related.

 Question 30 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent.

The critical value of X2 for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the X2  statistic is 3.179, state your conclusion about the relationship between gender and colorblindness.

 A. Do not reject H0. B. Reject H0. C. There is sufficient evidence to support the claim that gender and colorblindness are not related. D. There is not sufficient evidence to accept or reject H0.

 Question 31 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error?

 A. 4.6 B. 4.4 C. 4.2 D. 5.6

 Question 32 of 40 0.0/ 2.5 Points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 Colorblind Not Colorblind Total Male 7 53 60 Female 1 39 40 Total 8 92 100

If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness.

 A. Colorblind Female 4.8; Not Colorblind Female 55.2 B. Colorblind Female 3.2; Not Colorblind Female 36.8 C. Colorblind Female 4.8; Not Colorblind Female 35.2 D. Colorblind Female 3.8; Not Colorblind Female 36.2

 Question 33 of 40 0.0/ 2.5 Points

The __________ test statistic is for the one-way analysis of variance.

 A. P-Value B. t C. F D. p

 Question 34 of 40 0.0/ 2.5 Points

Which of the following statements is true?

 A. The p distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. B. The t distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. C. The t distribution cannot be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown. D. The p distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.

 Question 35 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error?

 A. 2.0 B. 2.7 C. 3.0 D. 4.0

 Question 36 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 25.2. What is the margin of error?

 A. 3.9 B. 4.8 C. 4.9 D. 3.7

 Question 37 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 180 yards when hit with his 5-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 7 times at the required speed.

Data from this test resulted in a sample mean of 184.2 yards and a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer’s requirements. Use the partial t-table below.

 Area in one tail 0.025 0.05 Area in two tails Degrees of Freedom n – 1 0.05 0.10 6 2.447 1.943 7 2.365 1.895 8 2.306 1.860 9 2.262 1.833

 A. Reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards. B. Reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. C. Do not reject the null hypothesis. The data do provide sufficient evidence that the average distance is greater than 180 yards. D. Do not reject the null hypothesis. The data do not provide sufficient evidence that the average distance is greater than 180 yards.

 Question 38 of 40 0.0/ 2.5 Points

A 95% confidence interval for the mean of a normal population is found to be 15.6 < µ < 24.8. What is the margin of error?

 A. 4.4 B. 4.6 C. 4.8 D. 5.0

 Question 39 of 40 0.0/ 2.5 Points

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low compression ball by having a robot swing his club 8 times at the required speed. State the null and alternative hypotheses for this test.

 A. H0: µ = 160; Ha: µ > 150 B. H0: µ = 150; Ha: µ > 150 C. H0: µ = 160; Ha: µ > 160 D. H0: µ = 140; Ha: µ > 160

 Question 40 of 40 0.0/ 2.5 Points

The following data were analyzed using one-way analysis of variance.

 A B C 34 27 19 26 23 31 31 29 22 28 21 22

Which one of the following statements is correct?

 A. The purpose of the analysis is to determine whether the groups A, B, and C are independent. B. The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal. C. The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal. D. The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal.

 0.0/ 2.5 Points

The distribution of B.A. degrees conferred by a local college is listed below, by major.

Major                    Frequency English                 2073

Mathematics        2164

Chemistry            318

Physics                856

Liberal Arts          1358

Engineering          868                              9313

What is the probability that a randomly selected degree is not in Business?

 A. 0.7800 B. 0.8200 C. 0.8300 D. 0.9200

 Question 7 of 40 2.5/ 2.5 Points

The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.

 A. 0.02 B. 0.05 C. 0.94 D. 0.06

 Question 8 of 40 2.5/ 2.5 Points

Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?

 A. 8 B. 6 C. 5 D. 4

 Question 9 of 40 2.5/ 2.5 Points

A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)

 A. 0.6 B. 0.4 C. 0.7 D. 0.8

 Question 10 of 40 0.0/ 2.5 Points

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction.

 A. 335/365 B. 334/365 C. 336/365 D. 30/365

 Question 11 of 40 2.5/ 2.5 Points

A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example, RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 16 possible outcomes.)

 A. 1/4 B. 3/4 C. 2/16 D. 3/16

 Question 12 of 40 0.0/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that at least two heads occur consecutively?

 A. 1/8 B. 3/8 C. 5/8 D. 6/8

 Question 13 of 40 0.0/ 2.5 Points

In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.

 A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series. B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series. C. Since 1/2 > 1/5 > 1/11, the first series is closer. D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.

 Question 14 of 40 2.5/ 2.5 Points

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

 A. 2/11 B. 3/11 C. 5/14 D. 3/14

 Question 15 of 40 0.0/ 2.5 Points

Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.

chocolate bar – chocolate bar

licorice stick – chocolate bar

banana – banana

chocolate bar – licorice stick

licorice stick – licorice stick

chocolate bar – banana

banana – licorice stick

licorice stick – banana

banana – chocolate bar

Find the probability that no chocolate bar was eaten.

 A. 4/9 B. 5/9 C. 7/9 D. 5/8

 Question 16 of 40 2.5/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails?

 A. 1/2 B. 2/3 C. 3/4 D. 4/9

 Question 17 of 40 2.5/ 2.5 Points

A sample space consists of 46 separate events that are equally likely. What is the probability of each?

 A. 1/24 B. 1/46 C. 1/32 D. 1/18

 Question 18 of 40 2.5/ 2.5 Points

Suppose you pay \$1.00 to roll a fair die with the understanding that you will get back \$3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value?

 A. \$1.00 B. \$0.00 C. \$3.00 D. −\$1.00

 Question 19 of 40 0.0/ 2.5 Points

A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?

 A. The probability that the difference occurred due to chance is less than 0.05. B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant. C. There is not enough information to make any conclusion. D. The probability that the difference occurred due to chance is more than 0.05.

 Question 20 of 40 0.0/ 2.5 Points

A 28-year-old man pays \$125 for a one-year life insurance policy with coverage of \$140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man’s expected value for the insurance policy?

 A. \$139,916 B. −\$41 C. \$84 D. −\$124

 Part 2 of 2 – 0.0/ 50.0 Points

 Question 21 of 40 0.0/ 2.5 Points

Which point below would be an outlier if it were on the following graph?

 A. (25, 20) B. (5, 12) C. (7, 5) D. (5, 3)

 Question 22 of 40 0.0/ 2.5 Points

Among a random sample of 500 college students, the mean number of hours worked per week at non-college related jobs is 14.6. This mean lies 0.4 standard deviations below the mean of the sampling distribution. If a second sample of 500 students is selected, what is the probability that for the second sample, the mean number of hours worked will be less than 14.6?

 A. 0.5 B. 0.6179 C. 0.6554 D. 0.3446

 Question 23 of 40 0.0/ 2.5 Points

The scatter plot and best-fit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is -0.55. Determine the amount of variation in the number of cars not explained by the variation time after school.

 A. 55% B. 70% C. 30% D. 45%

 Question 24 of 40 0.0/ 2.5 Points

Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?

 A. 0.8849 B. 0.5 C. 0.1131 D. 0.1151

 Question 25 of 40 0.0/ 2.5 Points

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.

 A. 0.2323 to 0.3075 B. 0.2325 to 0.3075 C. 0.2325 to 0.3185 D. 0.2323 to 0.3185

 Question 26 of 40 0.0/ 2.5 Points

Which line of the three shown in the scatter diagram below fits the data best?

 A. A B. B C. C D. All the lines are equally good

 Question 27 of 40 0.0/ 2.5 Points

Which graph has two groups of data, correlations within each group, but no correlation among all the data?

 A. B. C. D.

 Question 28 of 40 0.0/ 2.5 Points

A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of \$30. Past studies suggest that a population standard deviation of \$248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

 A. 274 B. 284 C. 264 D. 272

 Question 29 of 40 0.0/ 2.5 Points

Select the best fit line on the scatter diagram below.

 A. A B. B C. C D. All of the lines are equally good

 Question 30 of 40 0.0/ 2.5 Points

Select the best fit line on the scatter diagram below.

 A. A B. B C. C D. None of the lines is the line of best fit

 Question 31 of 40 0.0/ 2.5 Points

A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in this neighborhood. Give the 95% confidence interval.

 A. 1.14 to 1.88 B. 1.12 to 1.88 C. 1.12 to 1.98 D. 1.14 to 1.98

 Question 32 of 40 0.0/ 2.5 Points

The graph shows a measure of fitness (y) and miles walked weekly. Identify the probable cause of the correlation.

 A. The correlation is coincidental. B. There is a common underlying cause of the correlation. C. There is no correlation between the variables. D. Walking is a direct cause of the fitness.

 Question 33 of 40 0.0/ 2.5 Points

Monthly incomes of employees at a particular company have a mean of \$5954. The distribution of sample means for samples of size 70 is normal with a mean of \$5954 and a standard deviation of \$259. Suppose you take a sample of size 70 employees from the company and find that their mean monthly income is \$5747. How many standard deviations is the sample mean from the mean of the sampling distribution?

 A. 0.8 standard deviations above the mean B. 0.8 standard deviations below the mean C. 7.3 standard deviations below the mean D. 207 standard deviations below the mean

 Question 34 of 40 0.0/ 2.5 Points

Suggest the cause of the correlation among the data.

The graph shows strength of coffee (y) and number of scoops used to make 10 cups of coffee (x). Identify the probable cause of the correlation.

 A. The variation in the x variable is a direct cause of the variation in the y variable. B. There is no correlation between the variables. C. The correlation is due to a common underlying cause. D. The correlation between the variables is coincidental.

 Question 35 of 40 0.0/ 2.5 Points

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

 A. 28.0 to 30.0 B. 25.0 to 27.0 C. 29.0 to 31.0 D. 27.0 to 29.0

 Question 36 of 40 0.0/ 2.5 Points

30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?

 A. 0.8932 B. 0.8920 C. 0.9032 D. 0.9048

 Question 37 of 40 0.0/ 2.5 Points

Of the 6796 students in one school district, 1537 cannot read up to grade level. Among a sample of 812 of the students from this school district, 211 cannot read up to grade level. Find the sample proportion of students who cannot read up to grade level.

 A. 0.14 B. 0.26 C. 211 D. 0.23

 Question 38 of 40 0.0/ 2.5 Points

A population proportion is to be estimated. Estimate the minimum sample size needed to achieve a margin of error E = 0.01with a 95% degree of confidence.

 A. 7,000 B. 8,000 C. 9,000 D. 10,000

 Question 39 of 40 0.0/ 2.5 Points

The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the variation in availability.

 A. 5% B. 10% C. 95% D. 90%

 Question 40 of 40 0.0/ 2.5 Points

In a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?

 A. The reported margin of error is consistent with the sample size. B. There is not enough information to determine whether the margin of error is consistent with the sample size. C. The sample size is too small to achieve the stated margin of error. D. For the given sample size, the margin of error should be smaller than stated.

 0.0/ 2.5 Points

The distribution of B.A. degrees conferred by a local college is listed below, by major.

Major                    Frequency English                 2073

Mathematics        2164

Chemistry            318

Physics                856

Liberal Arts          1358

Engineering          868                              9313

What is the probability that a randomly selected degree is not in Business?

 A. 0.7800 B. 0.8200 C. 0.8300 D. 0.9200

 Question 7 of 40 2.5/ 2.5 Points

The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.

 A. 0.02 B. 0.05 C. 0.94 D. 0.06

 Question 8 of 40 2.5/ 2.5 Points

Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?

 A. 8 B. 6 C. 5 D. 4

 Question 9 of 40 2.5/ 2.5 Points

A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)

 A. 0.6 B. 0.4 C. 0.7 D. 0.8

 Question 10 of 40 0.0/ 2.5 Points

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction.

 A. 335/365 B. 334/365 C. 336/365 D. 30/365

 Question 11 of 40 2.5/ 2.5 Points

A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example, RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 16 possible outcomes.)

 A. 1/4 B. 3/4 C. 2/16 D. 3/16

 Question 12 of 40 0.0/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that at least two heads occur consecutively?

 A. 1/8 B. 3/8 C. 5/8 D. 6/8

 Question 13 of 40 0.0/ 2.5 Points

In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.

 A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series. B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series. C. Since 1/2 > 1/5 > 1/11, the first series is closer. D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.

 Question 14 of 40 2.5/ 2.5 Points

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

 A. 2/11 B. 3/11 C. 5/14 D. 3/14

 Question 15 of 40 0.0/ 2.5 Points

Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.

chocolate bar – chocolate bar

licorice stick – chocolate bar

banana – banana

chocolate bar – licorice stick

licorice stick – licorice stick

chocolate bar – banana

banana – licorice stick

licorice stick – banana

banana – chocolate bar

Find the probability that no chocolate bar was eaten.

 A. 4/9 B. 5/9 C. 7/9 D. 5/8

 Question 16 of 40 2.5/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails?

 A. 1/2 B. 2/3 C. 3/4 D. 4/9

 Question 17 of 40 2.5/ 2.5 Points

A sample space consists of 46 separate events that are equally likely. What is the probability of each?

 A. 1/24 B. 1/46 C. 1/32 D. 1/18

 Question 18 of 40 2.5/ 2.5 Points

Suppose you pay \$1.00 to roll a fair die with the understanding that you will get back \$3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value?

 A. \$1.00 B. \$0.00 C. \$3.00 D. −\$1.00

 Question 19 of 40 0.0/ 2.5 Points

A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?

 A. The probability that the difference occurred due to chance is less than 0.05. B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant. C. There is not enough information to make any conclusion. D. The probability that the difference occurred due to chance is more than 0.05.

 Question 20 of 40 0.0/ 2.5 Points

A 28-year-old man pays \$125 for a one-year life insurance policy with coverage of \$140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man’s expected value for the insurance policy?

 A. \$139,916 B. −\$41 C. \$84 D. −\$124

 Part 2 of 2 – 0.0/ 50.0 Points

 Question 21 of 40 0.0/ 2.5 Points

Which point below would be an outlier if it were on the following graph?

 A. (25, 20) B. (5, 12) C. (7, 5) D. (5, 3)

 Question 22 of 40 0.0/ 2.5 Points

Among a random sample of 500 college students, the mean number of hours worked per week at non-college related jobs is 14.6. This mean lies 0.4 standard deviations below the mean of the sampling distribution. If a second sample of 500 students is selected, what is the probability that for the second sample, the mean number of hours worked will be less than 14.6?

 A. 0.5 B. 0.6179 C. 0.6554 D. 0.3446

 Question 23 of 40 0.0/ 2.5 Points

The scatter plot and best-fit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is -0.55. Determine the amount of variation in the number of cars not explained by the variation time after school.

 A. 55% B. 70% C. 30% D. 45%

 Question 24 of 40 0.0/ 2.5 Points

Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?

 A. 0.8849 B. 0.5 C. 0.1131 D. 0.1151

 Question 25 of 40 0.0/ 2.5 Points

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.

 A. 0.2323 to 0.3075 B. 0.2325 to 0.3075 C. 0.2325 to 0.3185 D. 0.2323 to 0.3185

 Question 26 of 40 0.0/ 2.5 Points

Which line of the three shown in the scatter diagram below fits the data best?

 A. A B. B C. C D. All the lines are equally good

 Question 27 of 40 0.0/ 2.5 Points

Which graph has two groups of data, correlations within each group, but no correlation among all the data?

 A. B. C. D.

 Question 28 of 40 0.0/ 2.5 Points

A researcher wishes to estimate the mean amount of money spent per month on food by households in a certain neighborhood. She desires a margin of error of \$30. Past studies suggest that a population standard deviation of \$248 is reasonable. Estimate the minimum sample size needed to estimate the population mean with the stated accuracy.

 A. 274 B. 284 C. 264 D. 272

 Question 29 of 40 0.0/ 2.5 Points

Select the best fit line on the scatter diagram below.

 A. A B. B C. C D. All of the lines are equally good

 Question 30 of 40 0.0/ 2.5 Points

Select the best fit line on the scatter diagram below.

 A. A B. B C. C D. None of the lines is the line of best fit

 Question 31 of 40 0.0/ 2.5 Points

A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in this neighborhood. Give the 95% confidence interval.

 A. 1.14 to 1.88 B. 1.12 to 1.88 C. 1.12 to 1.98 D. 1.14 to 1.98

 Question 32 of 40 0.0/ 2.5 Points

The graph shows a measure of fitness (y) and miles walked weekly. Identify the probable cause of the correlation.

 A. The correlation is coincidental. B. There is a common underlying cause of the correlation. C. There is no correlation between the variables. D. Walking is a direct cause of the fitness.

 Question 33 of 40 0.0/ 2.5 Points

Monthly incomes of employees at a particular company have a mean of \$5954. The distribution of sample means for samples of size 70 is normal with a mean of \$5954 and a standard deviation of \$259. Suppose you take a sample of size 70 employees from the company and find that their mean monthly income is \$5747. How many standard deviations is the sample mean from the mean of the sampling distribution?

 A. 0.8 standard deviations above the mean B. 0.8 standard deviations below the mean C. 7.3 standard deviations below the mean D. 207 standard deviations below the mean

 Question 34 of 40 0.0/ 2.5 Points

Suggest the cause of the correlation among the data.

The graph shows strength of coffee (y) and number of scoops used to make 10 cups of coffee (x). Identify the probable cause of the correlation.

 A. The variation in the x variable is a direct cause of the variation in the y variable. B. There is no correlation between the variables. C. The correlation is due to a common underlying cause. D. The correlation between the variables is coincidental.

 Question 35 of 40 0.0/ 2.5 Points

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

 A. 28.0 to 30.0 B. 25.0 to 27.0 C. 29.0 to 31.0 D. 27.0 to 29.0

 Question 36 of 40 0.0/ 2.5 Points

30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?

 A. 0.8932 B. 0.8920 C. 0.9032 D. 0.9048

 Question 37 of 40 0.0/ 2.5 Points

Of the 6796 students in one school district, 1537 cannot read up to grade level. Among a sample of 812 of the students from this school district, 211 cannot read up to grade level. Find the sample proportion of students who cannot read up to grade level.

 A. 0.14 B. 0.26 C. 211 D. 0.23

 Question 38 of 40 0.0/ 2.5 Points

A population proportion is to be estimated. Estimate the minimum sample size needed to achieve a margin of error E = 0.01with a 95% degree of confidence.

 A. 7,000 B. 8,000 C. 9,000 D. 10,000

 Question 39 of 40 0.0/ 2.5 Points

The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the variation in availability.

 A. 5% B. 10% C. 95% D. 90%

 Question 40 of 40 0.0/ 2.5 Points

In a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?

 A. The reported margin of error is consistent with the sample size. B. There is not enough information to determine whether the margin of error is consistent with the sample size. C. The sample size is too small to achieve the stated margin of error. D. For the given sample size, the margin of error should be smaller than stated.

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