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Consider the sample data below. 45 56 55 49 43 34 42 35 60 48 42 50 45 52 33 34

ID: 2956114 • Letter: C

Question

Consider the sample data below.
45

56

55

49

43

34

42

35

60

48

42

50

45

52

33

34

60

52

60

60

32

56

39

46

34

55

41

59

41

50

40

44

60




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

H0:µ<or = to 50 Ha:µ>50

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 = 0.01.
(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?

I got a mean of 47.03 and a Standard Deviation of 9.17...I don't know if this is correct but I tried! H0:µ<or = to 50 Ha:µ>50
I got a mean of 47.03 and a Standard Deviation of 9.17...I don't know if this is correct but I tried!

Explanation / Answer

Mean and standard deviation look correct. So test statistic is t=(47.03-50)/9.17362/sqrt33 (33 is sample size) t= 1.86 Critical value is 2.457 at alpha= .01 so we would not reject null hypothesis. P value is .025