Chapter 8.1, Problem 7E

(a)

To determine

To Explain: that the confidence intervals provide convincing evidence that the true mean volume is different than 12 ounces.

Answer to Problem 7E

No

Explanation of Solution

Given:

For 95% confidence interval the true mean volume is

(11.97 ounces, 12.05 ounces)

It is observed that the confidence interval having 12 ounces which means that volume 12 ounces true mean volume is likely. Although, this means that it is not enough evidence that the true mean volume is different than 12 ounces.

(b)

To determine

To Explain: that the confidence intervals provide convincing evidence that the true mean volume is 12 ounces.

Answer to Problem 7E

No

Explanation of Solution

Given:

For 95% confidence interval the true mean volume is

(11.97 ounces, 12.05 ounces)

It is observed that the 12 ounces is coming in the intervals which means that it is likely those 12 ounces is the true mean volume. Although, all volumes between this intervals are equally likely to be right mean volume and therefore it is not assured that 12 ounces is the true mean volume. This is not predicted that here is convincing evidence that the true mean volume is 12 ounces.