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 49 healthy people and found that they had a mean body temperature of $\displaystyle {98.33}^{{\circ}}{F}$ with a standard deviation of $\displaystyle {0.97}^{{\circ}}{F}$ .
Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < $\displaystyle {98.6}^{{\circ}}{F}$ .

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)?

left-tailed
right-tailed
two-tailed

c) Identify the appropriate significance level.

d) Calculate your test statistic. Write the result below, and be sure to round your final answer to 3 decimal places.

e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal places.

f) Do you reject the null hypothesis?

We 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.

g) Select the statement below that best represents the conclusion that can be made.

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

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