Question

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.14degreesF and a standard deviation of 0.56degreesF. 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 96.46degreesF and 99.82degrees​F? b. What is the approximate percentage of healthy adults with body temperatures between 97.02degreesF and 99.26degrees​F?

Answer 1

This is a normal distribution question with


a) P(96.46 < x < 99.82)=?

This implies that
P(96.46 < x < 99.82) = P(-3.0 < z < 3.0) = P(Z < 3.0) - P(Z < -3.0)


b) P(97.02 < x < 99.26)=?

This implies that
P(97.02 < x < 99.26) = P(-2.0 < z < 2.0) = P(Z < 2.0) - P(Z < -2.0)

PS: you have to refer z score table to find the final probabilities.
Please hit thumbs up if the answer helped you