91影视

A dataset consisting of body temperatures of adults is utilized.

The mean temperature is given as 98.2 ${}^{\text{o}}\text{F}$.

The standard deviation of the temperatures is given as 0.62${}^{\text{o}}\text{F}$.

For a set of values that have a bell-shaped distribution, the empirical rule can be used.

The rule consists of three main properties:

• 68% of observations lie between or between$\left(渭-蟽,渭+蟽\right)$ one standard deviation of the mean.
• 95% of observations lie between $\left(渭-2蟽,渭+2蟽\right)$or between two standard deviations of the mean.
• 99.7% of observations lie between $\left(渭-3蟽,渭+3蟽\right)$or between three standard deviations of the mean.

a.

The given temperatures equal to (97.58${}^{\text{o}}\text{F}$,98.82${}^{\text{o}}\text{F}$) are above and below one standard deviation of the mean.

Therefore, it can be concluded that 68% of adults have a body temperature between (97.58${}^{\text{o}}\text{F}$,98.82${}^{\text{o}}\text{F}$).

b.

The temperatures are given to be 96.34${}^{\text{o}}\text{F}$and 100.06${}^{\text{o}}\text{F}$.

$$\begin{gathered} 渭-3蟽=98.2-3\left(0.62\right) \\ =96.34 \\ 渭+3蟽=98.2+3\left(0.62\right) \\ =100.06 \end{gathered}$$

The given values are above and below three standard deviations of the mean.

Therefore, it can be concluded that 99.7% of adults have a body temperature between (96.34${}^{\text{o}}\text{F}$,100.06${}^{\text{o}}\text{F}$).