Test of hypothesis
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Suppose 9 observations are drawn from a normal population whose standard deviation is 2. The observations are: 15, 9, 13, 11, 8, 12, 11, 7 and 10. At 95% confidence, you want to determine whether the mean of the population from which this sample was taken is significantly different from 10.
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Solution Summary
Tests the hypothesis that the mean of the population from which this sample was taken is significantly different from 10.
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Suppose 9 observations are drawn from a normal population whose standard deviation is 2. The observations are: 15, 9, 13, 11, 8, 12, 11, 7 and 10. At 95% confidence, you want to determine whether the mean of the population from which this sample was taken is significantly different from 10.
Answer: the mean of the population from which this sample was taken is NOT significantly different from 10
(Calculations are shown below)
15
9
13
11
8
12
11
7
10
Total= 96
Mean= 10.67
Data
Hypthesized mean= 10 ...
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