In: Statistics and Probability
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of
98.2198.21degrees°F
and a standard deviation of
0.540.54degrees°F.
Using the empirical rule, find each approximate percentage below.
a. |
What is the approximate percentage of healthy adults with body
temperatures within
11 standarddeviationdeviation of the mean, or between97.6797.67degrees°F and98.7598.75degrees°F? |
b. |
What is the approximate percentage of healthy adults with body
temperatures between
97.1397.13degrees°F and99.2999.29degrees°F? |
We have,
(a) By empirical rule(68-95-99.7 rule)
Therefore,
Percentage = 68%
(b) By empirical rule,
Hence,
Percentage = 95%