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Question 26 2 pts

(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 standard deviation of $41. At α=0.10, what type of test is this and 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 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

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

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Question 27 2 pts

(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 1.1 miles per gallon. At α=0.05, can you support the company’s claim?

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

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

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

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

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Question 28 2 pts

(CO7) A state Department of Transportation claims that the mean wait time for various services at its different location is more than 6 minutes. A random sample of 16 services at different locations has a mean wait time of 9.5 minutes and a standard deviation of 7.3 minutes. At α=0.01, can the department’s claim be supported?

Yes, since p of 0.037 is less than 0.07, reject the null. Claim is alternative, so is supported

No, since p of 0.037 is greater than 0.01, fail to reject the null. Claim is alternative, so is not supported

Yes, since p of 0.037 is greater than 0.01, fail to reject the null. Claim is null, so is supported

No, since p of 0.037 is greater than 0.01, reject the null. Claim is null, so is not supported

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Question 29 2 pts

(CO7) 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 $1860. At α=0.08, can the dealer’s claim be supported?

Yes, since the test statistic of 1.08 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

No, since the test statistic of 1.08 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

Yes, since the test statistic of 1.08 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

No, since the test statistic of 1.08 is close to the critical value of 1.24, the null is not rejected. The claim is the null, so is supported

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Question 30 2 pts

(CO7) A researcher wants to determine if eating more vegetables helps high school juniors learn algebra. A junior class is divided into pairs and one student from each pair has extra vegetables and the other in the pair does not. After 2 weeks, the entire class takes an algebra test and the results of the two groups are compared. To be a valid matched pair test, what should the researcher consider in creating the two groups?

That each pair of students has similar ages at the time of the testing

That the group without extra vegetables receives different instruction

That each pair of students has similar IQs or abilities in mathematics

That the group with the extra vegetables also has more sweets

Answer 1

26_)

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

27)

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 supporte

28_)

No, since p of 0.037 is greater than 0.01, fail to reject the null. Claim is alternative, so is not supported

29)

Yes, since the test statistic of 1.08 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

30)

That each pair of students has similar IQs or abilities in mathematics