Assuming the population of body temperatures for men and women is normally distributed, calculate the 99% confidence interval and the margin of error for the mean body temperature for both men and women. Using complete sentences, explain what these confidence intervals mean in the context of the problem.
This looks like a Statistics problem to me, not "Math" as I see classified.
You also must assume that the twosamples of size 100 are random and independent. Note that the population std. dev. are known (given)
I use the web-link http://www.danielsoper.com/statcalc3/calc.aspx?id=95
for women the 99% confidence interval for the population mean body temperature Is [98.458, 98.742]
Margin of error for men 0.294
Margin of error for women 0.284
Post a comment if you have any questions.