Please answer E and don\'t use excel The average height of an adult male in the

Question

Please answer E and don't use excel

The average height of an adult male in the U. S. is 69.5 inches with a standard deviation of 2 inches. a) Sketch the normal curve and fill in the standard deviation numbers and percentages for the scenario above. Use the diagram to answer questions b-f. b) What percentage of adult US men have a height that is between 2 standard deviations below the mean and 1 standard deviation above the mean? c) What percentage of adult US men have a height that is between 65.5" and 71.5"? d) What percentage of adult US men have a height that is less than 67.5 inches? e) What percentage of adult US men have a height that is between 71.5" and 75.5 "? In a group of 90 adult US men, how many would you expect to be between 71.5" and 75.5" tall? f) What percentage of adult US men have a height that is between 65.5 and 69.5 inches? In a group of 90 adult US men: how many would you expect to be between 65.5 and 69.5 inches tall?

Explanation / Answer

= 69.5, = 2

(E) x1 = 71.5, x2 = 75.5

z1 = (x1 - )/ = (71.5 - 69.5)/2 = 1

z2 = (x2 - )/ = (75.5 - 69.5)/2 = 3

P(71.5 < x < 75.5) = P(1 < z < 3) = 0.1573 which is 15.73%

We would expect 0.1573 * 90 = 14.16 (say 14 people)

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