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MMLU / The mean height of adult men is 70 inches, with a standard deviation of four…

Problem

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question

The mean height of adult men is 70 inches, with a standard deviation of four inches. The mean height of adult women is 66 inches, with a standard deviation of three inches. Between a man with a height of 74 inches and a woman with a height of 70 inches, who is more unusually tall within his or her respective sex?

choices

  1. It cannot be determined, because the mean heights for the two groups are different.
  2. It cannot be determined, because the standard deviations of the heights for the two groups are different.
  3. The man, because he is 74 inches tall and the woman is only 70 inches tall.
  4. The woman, because her height is 1.33 standard deviations above the mean height of all women, whereas the man’s height is only one standard deviation above the mean height of all men.

subject

high_school_statistics

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