A hypothesis test is to be carried out at ? = 0 . 05, for a population whose SD
ID: 3434303 • Letter: A
Question
A hypothesis test is to be carried out at ? = 0.05, for a population whose SD is 12. Use the output below to decide how big a sample is needed to bring the type II error probability below 0.2. Show work.
Power and Sample Size
1-Sample Z Test
Testing mean = null (versus not = null)
Calculating power for mean = null + difference Alpha = 0.05
Assumed standard deviation = 12
Sample
Target
Difference
Size
Power
Actual Power
5
29
0.6
0.611752
5
36
0.7
0.705418
5
46
0.8
0.806758
5
61
0.9
0.902220
A. 29
B. 61
C. 46
D. 36
Sample
Target
Difference
Size
Power
Actual Power
5
29
0.6
0.611752
5
36
0.7
0.705418
5
46
0.8
0.806758
5
61
0.9
0.902220
Explanation / Answer
Answer : C. 46
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