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You are planning a study of height among male athletes. You hypothesize that the mean height...

You are planning a study of height among male athletes. You hypothesize that the mean height of US male athletes is higher than the mean height among all US men. Men in the US are on average 5 foot 9 inches tall. Use R to figure out how big your study would need to be if you believe the average height of US athletes to be 6 feet tall. Use an alpha of 0.05 and a Power of 0.8. You may assume that the standard deviation of heights among US male athletes is 4 inches. 1.a) Write out your assumptions (including the null and alternative hypotheses) b) How many people should you include in your study? c) If I believe my athletes will have a true mean of 5 foot 11 how many people would my study need to enroll?

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