Assume X ~ N(, 25). From a sample of size n 100, we wish to test Ho : = 3 vs. H1

Question

Assume X ~ N(, 25). From a sample of size n 100, we wish to test Ho : = 3 vs. H1 : > 3 Answer the next four questions. 5 What is a good test statistic to use in this hypothesis testing situation? C. S 6. What is the rejection region for a test of size.05? a. > 3.82 b. 1.65 d. >4.20 e.>3.0 7 What is the power of your test if 4? a. .85 If -5, is the test more powerful, less powerful, or equally powerful? a. More powerful b. 34 c. 64 d. .ll e. none of these 38 b. Less powerful c. Equally powerful d. Not enough information

Explanation / Answer

35) option B is correct

36) for 0.05 level and right tailed test critical value of z =1.645

hence rejection region =xbar>3+1.645*5/(100)1/2 =3.82

option A is correct

37) power of test =P(Xbar>3.82)=P(Z>(3.82-4)/0.5)=P(Z>-0.36)=0.64

option C

38) more powerful cause distance between true mean and hypothesized mean are larger

option A is correct

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