IMathAS-libretexts

It is commonly believed that the mean body temperature of a healthy adult is

\displaystyle {98.6}^{{\circ}}{F}

. You are not entirely convinced. You believe that it is not

\displaystyle {98.6}^{{\circ}}{F}

. You collected data using 54 healthy people and found that they had a mean body temperature of

\displaystyle {98.29}^{{\circ}}{F}

with a standard deviaiton of

\displaystyle {1.11}^{{\circ}}{F}

. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not

\displaystyle {98.6}^{{\circ}}{F}

.

a) Identify the null and alternative hypotheses?

\displaystyle {H}_{{{0}}}

\displaystyle {H}_{{{A}}}

:

b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?

We reject the null hypothesis, since the p-value is less than the significance level.
We reject the null hypothesis, since the p-value is not less than the significance level.
We fail to reject the null hypothesis, since the p-value is less than the significance level.
We fail to reject the null hypothesis, since the p-value is not less than the significance level.

There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not $\displaystyle {98.6}^{{\circ}}{F}$ .
There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not $\displaystyle {98.6}^{{\circ}}{F}$ .
The sample data support the claim that the mean body temperature of a healthy adult is not $\displaystyle {98.6}^{{\circ}}{F}$ .
There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not $\displaystyle {98.6}^{{\circ}}{F}$ .