Consider the sample data below. 58 50 45 50 54 34 36 53 57 47 40 35 57 51 33 53
ID: 2956119 • Letter: C
Question
Consider the sample data below.58
50
45
50
54
34
36
53
57
47
40
35
57
51
33
53
59
40
50
45
46
45
41
44
43
42
51
45
36
39
45
58
56
Suppose we wish to test the following hypotheses for the data:
Calculate the mean and the standard deviation s of the data as above: (A) Compute the appropriate test statistic for testing (show all work).
(B) Determine the critical value for a = 0.05.
(C) Test 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? Calculate the mean and the standard deviation s of the data as above:
Explanation / Answer
n = 33 xbar = 46.61 s = 7.628 (A) test statistic: z = (xbar - µ)/(s/sqrt(n)) = (46.61 - 42)/(7.628/sqrt(33)) = 3.472 (B) 1.645 (C) We reject the null hypothesis since the test statistic is greater than the critical value. (D) We can conclude that the mean is greater than 42. (E) 0.0003