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

ID: 3299633 • Letter: T

Question

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.18 degrees°F and a standard deviation of 0.58 degrees°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.02 degrees°F and 99.34 degrees°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.60 degrees°F and 98.76 degrees°F?

Explanation / Answer

a)

according to emperical rule, approximatly 95% of data lies within 2 standard deviation

percentage = 95%

b)

standard deviation = 98.76 - 98.18 = 0.58

according to emperical rule , 68% of data lies within 1 standard deviation

percentage = 68%

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