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(CO 5) A textbook company claims that their book is so engaging that less than 55% of students read it. If a hypothesis test is

(CO 5) A textbook company claims that their book is so engaging that less than 55% of students read it. If a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted?

A. There is not sufficient evidence to support the claim that less than 55% of students read this text

B. There is not sufficient evidence to support the claim that no more than 55% of students read this text

C. There is sufficient evidence to support the claim that less than 55% of students read this text

D. There is sufficient evidence to support the claim that no more than 55% of students read this text

(CO 5) An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 45 of these tires, the braking distance has a mean of 78 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.

A. z-test statistic = -3.41, p-value = 0.0003

B. z-test statistic = 3.41, p-value = 0.0003

C. z-test statistic = -3.41, p-value = 0.0003

D. z-test statistic = 3.41, p-value = 0.0006

(CO 5) The heights of 82 roller coasters have a mean of 280.7 feet and a standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are less than 290 feet tall.

A. z-test statistic = 1.42, p-value = 0.0797

B. z-test statistic = 1.42, p-value = 0.1556

C. z-test statistic = -1.42, p-value = 0.0797

D. z-test statistic = -1.42, p-value = 0.1556

(CO 5) A manufacturer claims that their calculators are 6.800 inches long. A random sample of 39 of their calculators finds they have a mean of 6.810 inches with a standard deviation of 0.05 inches. At =0.08, can you support the manufacturer's claim using the p value?

A. Claim is the alternative, fail to reject the null and support claim as p-value (0.212) is greater than alpha (0.08)

B. Claim is the null, fail to reject the null and support claim as p-value (0.212) is greater than alpha (0.08)

C. Claim is the alternative, reject the null and cannot support claim as p-value (0.106) is greater than alpha (0.08)

D. Claim is the null, reject the null and cannot support claim as p-value (0.212) is greater than alpha (0.08)

(CO 5) A car company claims that the mean gas mileage for its luxury sedan is at least 24 miles per gallon. A random sample of 7 cars has a mean gas mileage of 23 miles per gallon and a standard deviation of 1.1 miles per gallon. At =0.05, can you support the company's claim assuming the population is normally distributed?

A. No, since the test statistic is not in the rejection region defined by the critical value, the null is not rejected. The claim is the null, so is supported

B. No, since the test statistic is in the rejection region defined by the critical value, the null is rejected. The claim is the null, so is not supported

C. Yes, since the test statistic is not in the rejection region defined by the critical value, the null is rejected. The claim is the null, so is not supported

D. Yes, since the test statistic is not in the rejection region defined by the critical value, the null is not rejected. The claim is the null, so is supported

(CO 5) A used car dealer says that the mean price of a three-year-old sport utility vehicle in good condition is $18,000. A random sample of 20 such vehicles has a mean price of $18,450 and a standard deviation of $1050. At =0.08, can the dealer's claim be supported assuming the population is normally distributed?

A. Yes, since the test statistic of 1.92 is in the rejection region defined by the critical value of 1.46, the null is rejected. The claim is the null, so is supported

B. No, since the test statistic of 1.92 is in the rejection region defined by the critical value of 1.85, the null is rejected. The claim is the null, so is not supported

C. Yes, since the test statistic of 1.92 is not in the rejection region defined by the critical value of 1.85, the null is not rejected. The claim is the null, so is supported

D. No, since the test statistic of 1.92 is close to the critical value of 1.24, the null is not rejected. The claim is the null, so is supported

(CO 5)A company claims that the hold times for customer service averages at most 10 minutes.A random sample of 24 hold times has a mean of 11.2 minutes with a standard deviation of 5.2 minutes.Is there enough evidence to support the claim at = 0.05? Assume the population is normally distributed.

A. No, since p of 0.135 is greater than 0.05, fail to reject the null. Claim is alternative, so is not supported

B. No, since p of 0.135 is greater than 0.05, reject the null. Claim is null, so is not supported

C. Yes, since p of 0.135 is greater than 0.05, fail to reject the null. Claim is null, so is supported

D. Yes, since p of 0.135 is less than 0.05, reject the null. Claim is null, so is supported

(CO 5) A coach claims that all players can run more than 1.5 miles.A random sample of 17 players finds that they can run an average of 1.8 miles with a standard deviation of 0.41 miles.Is there enough evidence to support the claim at of 0.01? Assume the population is normally distributed.

A. Yes, since p of 0.004 is less than 0.01, reject the null. Claim is null, so is supported

B. No, since p of 0.004 is greater than 0.01, reject the null. Claim is alternative, so is not supported

C. No, since p of 0.004 is greater than 0.01, fail to reject the null. Claim is null, so is not supported

D. Yes, since p of 0.004 is less than 0.01, reject the null. Claim is alternative, so is supported

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