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2 August, 06:44

The average 20 - to 29-year old man is 69.6 inches tall, with a standard deviation of 3.0 inches, while the average 20 - to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.8 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?

a. The z-score for the woman is smaller, so she is relatively taller.

b. The z-score for the man is smaller, so he is relatively taller.

c. The z-score for the woman is larger, so she is relatively taller.

d. The z-score for the man is larger, so she is relatively taller.

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  1. 2 August, 08:54
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    Given Information:

    The average 20-to-29 year old man = μ = 69.6 inches

    standard deviation of 20-to-29 year old man = σ = 3.0 inches

    20-to-29 year old man = x = 75 inches

    The average 20-to-29 year old woman = μ = 64.1 inches

    standard deviation of 20-to-29 year old woman = σ = 3.8 inches

    20-to-29 year old woman = x = 70 inches

    Required information:

    Who is relatively taller, a 75 inch man or a 70 inch woman?

    Step-by-step explanation:

    First we have to find out the z-score of the 20-to-29 year old man and 20-to-29 year old woman.

    For 20-to-29 year old man:

    z = (x - μ) / σ

    z = (75 - 69.6) / 3

    z = 1.7

    For 20-to-29 year old woman:

    z = (x - μ) / σ

    z = (70 - 64.1) / 3.8

    z = 1.55

    The z-score of the man is greater than the z-score of the woman. Therefore, man is relatively taller than woman.
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