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Answer :
a. The mean body temperature of men is roughly 97.5°F to 98.3°F.
b. The 95% confidence interval is approximately 98.3°F to 99.1°F.
c. The margin of error for men is about 0.4°F and for women is roughly 0.4°F,
d. The margin of error for women is larger due to a wider range of recorded temperatures in the sample
How to solve
a) The mean body temperature for men in this sample is 97.9°F.
Using a t-distribution (as we don't know the population standard deviation), the 95% confidence interval for the mean body temperature of men is roughly 97.5°F to 98.3°F.
b) For women, the mean is 98.7°F. The 95% confidence interval is approximately 98.3°F to 99.1°F.
c) The margin of error for men is about 0.4°F and for women is roughly 0.4°F, assuming equal sample sizes and degrees of freedom.
d) The margin of error for women is larger due to a wider range of recorded temperatures in the sample, which increases variability and uncertainty in the estimate.
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