Question

In: Statistics and Probability

1. (CO7) A car company claims that the mean gas mileage for its luxury sedan is...

1.

(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 1.2 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 not rejected. The claim is the null, so is 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

2.

(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 7.6 minutes. At α=0.05, can the department’s claim be supported?

Yes, since p of 0.043 is greater than 0.05, fail to reject the null. Claim is null, so is supported
No, since p of 0.043 is greater than 0.05, reject the null. Claim is null, so is not supported
No, since p of 0.043 is greater than 0.05, fail to reject the null. Claim is alternative, so is not supported

Yes, since p of 0.043 is less than 0.05, reject the null. Claim is alternative, so is supported

3.

(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 $1140. At α=0.08, can the dealer’s claim be supported?

No, since the test statistic of 1.77 is close to the critical value of 1.85, the null is not rejected. The claim is the null, so is supported
Yes, since the test statistic of 1.77 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
Yes, since the test statistic of 1.77 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 1.77 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

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