Chapter 11.6, Problem 13E

To determine

To explain: whether the friend’s claim is correct or not.

Answer to Problem 13E

Yes, the claim of friend is correct.

Explanation of Solution

Given:

Friend’s claim:

The mean of the resampling differences of the means should be close to 0 as the number of resampling increases.

Calculation:

Yes, the claim of friend is correct.

The reason is that as the number of samplings increases, the individual values should end up in each group approximately the same number of times. And due to it, the positive and negative differences in the means should balance out to 0.

Hence, it can be concluded that, the mean of the resampling differences of the means should be close to 0 as the number of resampling’s increase.

Conclusion:

Therefore,the claim of friend is correct.