A manufacturer claims that their calculators are 6.800 inches long. A random sample of 55 of their calculators

finds they have a mean of 6.812 inches with a population standard deviation of 0.05 inches. At α=0.08, can you support the manufacturer’s claim using the p value?

a Claim is the alternative, reject the null and cannot support claim as p-value (0.038) is greater than alpha (0.08)

b Claim is the alternative, fail to reject the null and support claim as p-value (0.075) is less than alpha (0.08)

C Claim is the null, reject the null and cannot support claim as p-value (0.075) is less than alpha (0.08)

D Claim is the null, fail to reject the null and support claim as p-value (0.038) is greater than alpha (0.08)

(CO7) A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than $152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is $160 with a population standard deviation of $41. At α=0.10, can you support the analyst’s claim using the p-value?

Claim is the alternative, reject the null as p-value (0.121) is not less than alpha (0.10), and can support the claim

Claim is the alternative, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

Claim is the null, reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

Claim is the null, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

(CO7) 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 2.4 miles per gallon. At α=0.05, can you support the company’s claim assuming the population is normally distributed?

A 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 alternative, so is supported

B 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

C 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

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

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