Chapter 8.1, Problem 17E

(a)

To determine

To Explain: the following explanation is correct or not on the basis of given information.

Answer to Problem 17E

Incorrect

Explanation of Solution

Given:

95% confidence interval for the mean body mass index is (26.2, 27.4)

It is incorrect the reason is that the confidence interval is about the mean BMI of young women and not individual women.

(b)

To determine

To Explain: the following explanation is correct or not on the basis of given information.

Answer to Problem 17E

Incorrect

Explanation of Solution

Given:

95% confidence interval for the mean body mass index is (26.2, 27.4)

It is incorrect; the reason is that do not know if the true population mean is between 26.2 and 27.4. Therefore the mean may not be in the confidence intervals for future samples.

(c)

To determine

To Explain: the following explanation is correct or not on the basis of given information.

Answer to Problem 17E

Correct

Explanation of Solution

Given:

95% confidence interval for the mean body mass index is (26.2, 27.4)

It is correct; the reason is that there are 95% confident that the population mean is between 26.2 and 27.4. Although do not know which value exactly, therefore it would believe any value between 26.2 and 27. 4.

(d)

To determine

To Explain: the following explanation is correct or not on the basis of given information.

Answer to Problem 17E

Incorrect

Explanation of Solution

Given:

95% confidence interval for the mean body mass index is (26.2, 27.4)

The population mean wouldn’t change and would either be a value between 26.2 and 27.4 100 percent of the time or 0 percent of the time.

(e)

To determine

To Explain: the following explanation is correct or not on the basis of given information.

Answer to Problem 17E

Incorrect

Explanation of Solution

Given:

95% confidence interval for the mean body mass index is (26.2, 27.4)

It is incorrect, the reason is that there are 95% of all possible samples has a 95% confidence interval that is having the true population mean and therefore the confidence interval (26.2, 27.4) could be one of the remaining 5% samples that is not having the true population mean.