Consider the sample data below: 46 43 54 29 26 43 40 22 33 48 42

Question: Consider the sample data below:

46	43	54	29	26	43	40	22	33	48	42
50	52	33	25	42	37	48	30	22	33	43
20	33	32	54	20	26	27	20	30	40	46

Suppose we wish to test the following hypotheses for the data:

Ho: u <=40

Ha: u> 40

Calculate the mean $\bar{X}$ and the standard deviation s of the data as above:

(A) Compute the appropriate test statistic for testing Ho (show all work).
(B) Determine the critical value for a = 0.05.
(C) Test Ho using the traditional/classical method.
(D) State the decision based on the results of the test.
(E) Had you used the p-value method of hypothesis testing, what would the p-value have been?

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