The manager of a firm wants to determine if the average hourly wage for semi-skilled workers is $9 in the Capital District.
In order to do so, she takes a random sample of 100 hourly wages and finds that the sample mean is $8 and the sample standard deviation is $2.
The hypotheses to be tested are:
Ho: u = 9
H1:u does not = 9
Assume that the actual average is $8.9. What is the probability of type II error at the 10% significance level? please show work!
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a.
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82.993%
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b.
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94.277%
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c.
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85.668%
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d.
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73.477%
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e.
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92.091%
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