Answer:
The approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.39°F to 99.35°F is 95%.
The approximate percentage of healthy adults with body temperatures between 97.88°F to 98.86°F is 68%.
Step-by-step explanation:
Mean : ![\mu = 98.37](https://tex.z-dn.net/?f=%5Cmu%20%3D%2098.37)
Standard deviation : ![\sigma = 0.49](https://tex.z-dn.net/?f=%5Csigma%20%3D%200.49)
Empirical rule :
1 ) 68% of the data lies within 1 standard deviation of mean
i.e. 68% of data lies between:
to
So, On the given data
to
to
So, 68% of data lies between 97.88°F to 98.86°F.
2) 95% of the data lies within 2 standard deviation of mean
i.e. 95% of data lies between:
to
So, On the given data
to
to
So, 95% of data lies between 97.39°F to 99.35°F .
3) 99.7% of the data lies within 3 standard deviation of mean
i.e. 99.7% of data lies between:
to
So, On the given data
to
to
So, 99.7% of data lies between 96.9°F to 99.84°F .
The approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.39°F to 99.35°F is 95%.
The approximate percentage of healthy adults with body temperatures between 97.88°F to 98.86°F is 68%.