In: Statistics and Probability
Data obtained from the National Center for Health Statistics show that men between the ages of 20 and 29 have a mean height of 69.3 inches, with a standard deviation of 2.9 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.9 inches. The heights (in inches) of 20 randomly selected players are given below.
72 | 74 | 71 | 72 | 76 |
70 | 77 | 75 | 72 | 72 |
77 | 72 | 75 | 70 | 73 |
73 | 75 | 73 | 74 | 74 |
Use Minitab Express to test the analyst's hypothesis at the α = 0.10 level of significance. Report your answers to three decimal places, where applicable.
With a P-value of , we (reject /
fail to reject) the null
hypothesis.
The given data (does / does
not) provide significant evidence that the standard
deviation of heights of baseball players
is (more than / less
than / different from) 2.9 inches.