Question: It is commonly thought that average "normal" body temperature is 98.6 ^o F. A study of the temperatures of twenty-five healthy adults showed a normal distribution of temperatures with an average of 98.2 ^o F and a standard deviation of 0.5 ^o F.

• State a null hypothesis H ₀ and an alternative hypothesis H _a that could be used to determine whether the average "normal" body temperature is different from 98.6 ^o F. Be sure to identify the claim.
• What is the numeric value of the p-value for the data?
• Test the null hypothesis at the 0.01, 0.05 and 0.10 significance levels. Explicitly show how you are making the decision to reject H ₀ or not. For each case, state whether you have evidence to support the claim or not.
• What are some possible real-life influences (the confounding variables) that might affect the measurement of body temperature.

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