It is commonly believed that the mean body temperature of a healthy adult is $98.6^{\circ} \mathrm{F}$. You are not entirely convinced. You believe that it is not $98.6^{\circ} \mathrm{F}$.
a) If you going to test this claim at the 0.01 significance level, what would be your null and alternative hypotheses?
\[
H_{0}: ? \vee
\]
\[
H_{1}: ? \vee
\]
b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)?
left-tailed
right-tailed
two-tailed

Step 1 ：The null hypothesis is a statement of no effect or no difference. In this case, the null hypothesis would be that the mean body temperature of a healthy adult is \(98.6^\circ \mathrm{F}\).

Step 2 ：The alternative hypothesis is what you might believe to be true or hope to prove true. In this case, the alternative hypothesis would be that the mean body temperature of a healthy adult is not \(98.6^\circ \mathrm{F}\).

Step 3 ：Since we are not specifying whether we believe the mean body temperature to be higher or lower than \(98.6^\circ \mathrm{F}\), we should conduct a two-tailed test. This is because we are looking for a difference in either direction from the hypothesized mean.

Step 4 ：The null and alternative hypotheses are: \[H_{0}: \text{The mean body temperature of a healthy adult is } 98.6^\circ \mathrm{F}\] \[H_{1}: \text{The mean body temperature of a healthy adult is not } 98.6^\circ \mathrm{F}\]

Step 5 ：The type of hypothesis test to conduct is a two-tailed test.