PLEASE HELP
The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.07degreesF and a standard deviation of 0.43degreesF.
Using the empirical​ rule, find each approximate percentage below.
a.
What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the​ mean, or between 96.78degreesF and 99.36degrees​F?
b.
What is the approximate percentage of healthy adults with body temperatures between 97.21degreesF and 98.93degrees​F?

Respuesta :

Answer:

a) According to empirical rule, 95% of the observations lies within 2 standard deviations of the mean.

Therefore 95% is the correct answer here.

b) 96.44 can be written as: 98.07 - 3*0.43 that is 3 standard deviations less than the mean

Also, 99.36 = 98.07 + 3*0.43 that is 3 standard deviations above the mean.

According to the empirical rule, 99.7% of the observations lies within 3 standard deviation of the mean.