Question

In: Statistics and Probability

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean...

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

standard

deviationdeviation

of the​ mean, or between

97.6797.67degrees°F

and

98.7598.75degrees°​F?

b.

What is the approximate percentage of healthy adults with body temperatures between

97.1397.13degrees°F

and

99.2999.29degrees°​F?

Solutions

Expert Solution

We have,

                 

(a) By empirical rule(68-95-99.7 rule)

       

Therefore,

           Percentage = 68%

(b) By empirical rule,

         

                                                  

Hence,

           Percentage = 95%


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