Ask Question
4 June, 02:59

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.

+5
Answers (1)
  1. 4 June, 03:14
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers