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17101/quizzes/84079 mployee-facing re Decoroledproblem. D Cory Koedel 88 Questio

ID: 3070109 • Letter: 1

Question

17101/quizzes/84079 mployee-facing re Decoroledproblem. D Cory Koedel 88 Question 7 3.75/5 pts A comparison of large-cap, medium-cap, and small-cap mutual funds was done on balanced data. The Tukey confidence intervals are below Comparison 95% Tukey C.l. AL-AAM (-0, 1847.5.3807) AL-HS (2.4426,8.008) Why is the Tukey method preferred here? I Select] Is there a significant difference between the treatment means for the large-cap and medium-cap mutual funds? Select] Is there a significant difference between the treatment means for the large-cap and small-cap mutual funds? Select] Is there a significant difference between the treatment means for the medium-cap and small-cap mutual funds? No Answer 1: Pairwise comparisons are done Answer 2: No Answer 3: Yes

Explanation / Answer

All of your answer is correct. Although it might be helpful if you show what are the options for Answer 1. Technically all answers are correct. Thanks

Answer 1: Correct. Pairwise comparisons are done

Answer 2: No

As the confidence interval for [mu_L - mu_M] does contains 0. So we won't reject our null hypothesis that there is NO difference between large cap and medium cap mutual funds as having difference 0 or more extreme has probability >= .05

Answer 3: Yes

As the confidence interval of [mu_L - mu_S] doesn't contain 0. That means that difference between then is 0 or even more extreme is less than .05

Hence at alpha = .05, we reject our null hypothesis that there is no difference between large cap and small cap mutual funds in favor of alternative.

Answer 4: No

There is no difference in mid cap and small cap as the confidence interval contains 0 and hence similar logic as of Answer 2.

Thanks

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