Question

A data set includes 104 body temperatures of a healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence intervals estimate of the mean bodybtemparaty of all healthy humans. What does the sample suggest about the use of 98.6°F as the meanbody temperature?

Answer 1

Since , the population standard deviation is not known.

Therefore , use t-distribution.

Now , df=degrees of freedom=n1-=104-1=103

The critical value is , ; The Excel function is , =TINV(0.01,103)

Therefore , the 99% confidence interval is ,

Since , the value 98.6°F is within the 99% confidence interval.

Therefore , the sample suggest that the use of 98.6°F as the mean body temperature