Question

the body - temperatures of a group of healthy adults have a bell - shaped distribution with a mean of 98.01°f and a standard deviation of 0.62°f. using the empirical rule, find each approximate percentage below.
a. what is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 96.77°f and 99.25°f?
b. what is the approximate percentage of healthy adults with body temperatures between 96.15°f and 99.87°f?
a. approximately __% of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 96.77°f and 99.25°f. (type an integer or a decimal. do not round.)

Explanation:

Step1: Recall the empirical rule

The empirical rule for a normal - distribution (bell - shaped distribution) states that approximately 95% of the data lies within 2 standard deviations of the mean.

Step2: Identify the given problem

We are asked to find the percentage of healthy adults with body temperatures within 2 standard deviations of the mean.

Answer:

95