Question

According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean of F and a standard deviation of F. Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within standard deviations of the​ mean? What are the minimum and maximum possible body temperatures that are within standard deviations of the​ mean? At least nothing​% of healthy adults have body temperatures within standard deviations of F. ​(Round to the nearest percent as​ needed.)

Answer 1

At least 89% of the data

Minimum = 96.34 F

Maximum= 100.06 F

Explanation:

According to the Chebyshev's theorem 89% of the data are within the 3 standard deviations of the mean.

The mean body temperature is 98.20 F and standard deviation is 0.62 F

Mean- 3SD= 98.20 F- 3(0.62)= 98.20 F- 1.86= 96.34 F

Mean + 3SD= 98.20 F + 3(0.62)= 98.20 F+ 1.86= 100.06 F