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1. Mary and John both want to test the hypothesis that mu = 100. They take separ

ID: 3252699 • Letter: 1

Question

1. Mary and John both want to test the hypothesis that mu = 100. They take separate random samples of children from the ABC elementary school, and they give the same test to their participants. Mary uses a sample of 10 students, but John uses a sample of 100 students. Which study will have more power?

a. Mary's study will have more power.

b. John's study will have more power.

c. Both studies have the same amount of power because the effect size is the same in both experiments.

d. Both studies have the same amount of power because the null hypothesis is always true.

2. A _____________ usually has more power than a ______________.

a. alternative hypothesis; null hypothesis

b. nondirectional test; directional test

c. null hypothesis; alternative hypothesis

d. directional test; nondirectional test

3. The figure shows statistical power for a directional test with an effect size of 5. By eyeball, estimate the power for a test with an effect size of 2, assuming all other things are equal.

a. .40

b. .26

c. .11

9 Sample size (n 15 Standard deviation (sigma 5 Effect size (mul mu0 05 Significance level (alpha) 70 85 100 115 130 IQ Power Actual value 260 Eyeball estimate 70 85 100 115 130 Mean IQ Xbar CV 108.2

Explanation / Answer

1question : option B

John's study will have more power

2 question : option D

Directional test and non directional test