The body temperatures of a group of healthy adults have a bell-shaped distributi

Question

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.0798.07degrees°F and a standard deviation of 0.490.49degrees°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 97.5897.58degrees°F and 98.5698.56degrees°F? b. What is the approximate percentage of healthy adults with body temperatures between 96.6096.60degrees°F and 99.5499.54degrees°F?

Explanation / Answer

Recall the empirical rule,

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Mean=98.07

standard deviation =0.49

Using Empircial rule 68% data are within 1 standard deviation of the mean.

Answer will be 68%

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96.60=98.07 -3 *0.49 and 99.54=98.07 +3 *0.49,

Using Empircial rule99.7% data are within 3 standard deviation of the mean.

Answer will be

99.7%

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