Question

Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3​ inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of​ major-league baseball players is less than 2.6 inches. The heights​ (in inches) of 20 randomly selected players are shown in the table.Test the notion at the alpha equals 0.10α=0.10 level of significance.

72
74
71
71
76
70
77
75
72
72
77
72
75
70
73
74
75
73
74
74

What is the test statistic? What is the p values?

Answer 1

s = 2.1095

The test statistic = (n - 1)s²/

                                  = 19 * (2.1095)^2/(2.6)^2

                                  = 12.507

P-value = P( < 12.507)

             = 0.1372