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The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.66 inches. The heights

The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.54 inches.

  1. If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? z =
  2. If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)? z =
  3. Who is relatively taller?
    • The 6 foot 3 inch American man
    • The 5 foot 11 inch American woman

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