A data set includes 105 body temperatures of healthy adult humans having a mean of \( 98.7^{\circ} \mathrm{F} \) and a standard deviation of \( 0.64^{\circ} \mathrm{F} \). Construct a \( 99 \% \) confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of \( 98.6^{\circ} \mathrm{F} \) as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean \( \mu \) ? \( \square^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F} \) (Round to three decimal places as needed.) \$
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