A sample of scores for the trainee golfer on a course in which he regularly practices was obtained as follows:
74 68 76 78 72 70 66 70 69 75 77 71 67 70
Suppose that the scores of the golfer is normally distributed. Test that the mean score of golfer is 68 at 5% level of significance. Obtain (a) the critical values for this test. (b) Determine the distribution of the test statistic?