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Most people think that the "normal" adult body temperature is 98.6 ∘F. In a more recent study, researchers reported that a more accurate figure may be 98.4 ∘F. Furthermore, the standard deviation appeared to be around 0.4 ∘F. Assume that a Normal model is appropriate.

Complete parts a through c below.

a) In what interval would you expect most people's body temperatures to be? Explain.

Select the correct choice below and fill in the answer box(es) to complete your choice.

A. Using the 68-95-99.7 Rule, about 95% of the body temperatures are expected to be at least ∘F. (Round to one decimal place as needed.)

B. Using the 68-95-99.7 Rule, about 95% of the body temperatures are expected to be between ∘F and ∘F. (Use ascending order. Round to one decimal place as needed.)

C. Using the 68-95-99.7 Rule, about 95% of the body temperatures are expected to be less than ∘F. (Round to one decimal place as needed.)

Answer :

The 68-95-99.7 Rule can be used to find the interval in which most people's body temperatures are expected to be, option B.

According to the rule, about 95 percent of the body temperatures are expected to be between one standard deviation less than the mean and one standard deviation above the mean. Hence the correct option is B. Using the 68-95-99.7 Rule, about 95% of the body temperatures are expected to be between 97.6∘F and 99.2∘F. (Use ascending order. Round to one decimal place as needed.)

Mean of Body temperature, μ=98.4∘FStandard deviation, σ=0.4∘FUsing the empirical rule (or 68-95-99.7 rule), we can say that the interval within which most people's body temperatures are expected to lie is as follows:

standard deviation = μ ± σ= 98.4 ± 0.4= (98.4 - 0.4) to (98.4 + 0.4)= 98 to 98.8.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean. Therefore, we can expect that about 68% of the population has a body temperature between 98 to 98.8∘F.

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