The U.S. Army is concerned with the quality of enlisted personnel who are being selected for Officer Candidate School. They fear that the old army rule of picking leaders by selecting the tallest person in the platoon is having an effect on the selection process. For male soldiers, they know that the average height is 5 foot 10 inches (or 70 inches). A sample of 75 persons who have been selected for OCS is taken. These soldiers have an average height of 6 foot 1 inch with a standard deviation of 8. Present a hypothesis, a null hypothesis, and evaluate the hypothesis.
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