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In: Statistics and Probability

Data obtained from the National Center for Health Statistics show that men between the ages of...

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.

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