For the following question, imagine we measured the heights of 10,000 men and found that the data were normally distributed with a mean of 69.0 inches with a standard deviation of 4 inches. Answer the following. Be sure to report the z score. 1) what proportion of men can be expected to have heights less than 75inches? 2) what proportion of men can be expected to have heights greater than 65 inches? 3) what proportion of men can be expected to have heights greater than 67 inches? 4) what proportion of men can be expected to have heights greater than 77 inches ? 5) what proportion of men can be expected to have heights between 63 and 72 inches? 6) What proportion of men can be expected to have heights between 60 and 74 inches ? 7) how many men have heights between 68 and 72 inches? 8) what height corresponds to the 17th percentile? 9) what height corresponds to the 91st percentile?
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