The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.58 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = c) Who is relatively taller? The 5 foot 11 inch American woman The 6 foot 3 inch American man

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The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.58 inches.

a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

z =

b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

z =

c) Who is relatively taller?

  • The 5 foot 11 inch American woman
  • The 6 foot 3 inch American man
Expert Solution
Step 1

given data 

men μ1 = 69.5σ1 = 2.65women μ2 = 64.4σ2 = 2.58

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