What is the confidence interval estimate of the population mean μ​?

Question

Using the sample statistics, construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. Do the confidence interval limits contain 98.6 degrees°F? What does the sample suggest about the use of 98.6 degrees°F as the mean body temperature?
What is the confidence interval estimate of the population mean μ?

Answer 1

99% CI means within x standard deviations from the mean

use z tables to find how many sds from mu

= 2.576 standard deviations

99% CI = (mu +/-2.576)

if m= 98.6 then the CI = (96.024, 101.176)