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Solved: Weights of Males versus Females According to the
Chapter 10, Problem 8RE(choose chapter or problem)
According to the National Center for Health Statistics, the mean weight of a 20- to 29-year-old female is 156.5 pounds, with a standard deviation of 51.2 pounds. The mean weight of a 20- to 29-year-old male is 183.4 pounds, with a standard deviation of 40.0 pounds. Who is relatively heavier: a 20- to 29-year-old female who weighs 160 pounds or a 20- to 29-year-old male who weighs 185 pounds?
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QUESTION:
According to the National Center for Health Statistics, the mean weight of a 20- to 29-year-old female is 156.5 pounds, with a standard deviation of 51.2 pounds. The mean weight of a 20- to 29-year-old male is 183.4 pounds, with a standard deviation of 40.0 pounds. Who is relatively heavier: a 20- to 29-year-old female who weighs 160 pounds or a 20- to 29-year-old male who weighs 185 pounds?
ANSWER:Step 1 of 2
We know that
the mean weight of a 20- to 29-year-old female is 156.5 pounds,with a standard deviation of 51.2 pounds
We are comparing the z score for the female and male.
First we comparing the female.
The z score for the female is
\(\begin{array}{l}
z=\frac{285-156.5}{51.2} \\
z=\frac{128.500}{51.2} \\
z=\mathbf{2 . 5 1}
\end{array}\)
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