Weights of Males versus Females According to the National

Problem-8RE

Weights of Males versus Females 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?

                                                         Step by step solution

Step 1 of 4

Given Information:

     * 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.

     * Weight of the female is 160 pounds.

     * Weight of male is 185 pounds.

Define following random variables:

Let F be the random variable for weights (in pounds) of 20-29-year-old females.

Let M be the random variable for weights (in pounds) of 20-29-year-old males.