Question 233173
Suppose we wish to test the following hypotheses for the data:
 
Ho:u <= 40
Ho: u > 40 
 
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Given the mean  and the standard deviation  of the data as above:
sample mean = 36 ; sample std = 10.3923
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(A) Compute the appropriate test statistic for testing  (show all work).
ts = z(36) = (36-40)/[10.3923/sqrt(30)] = -2.108..
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(B) Determine the critical value for alpha = 0.05.
For one-tail test with alpha=5% and df=29: cv = -1.699..
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(C) Test Ho  using the traditional/classical method.
Reject Ho because the test statistic is in the rejection
interval (-inf,-1.699..)
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(D) State the decision based on the results of the test.
u < 40
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(E) Had you used the p-value method of hypothesis testing, what would the p-value have been?
p-value is P(t < -2.108, with df=29) = tcdp(-100,-2.108,29) = 0.0219..
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Cheers,
Stan H.