SOLUTION: A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3°F and a standard deviation of 0.69°F. Construct a 99​% confidence interval estimate of t

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Question 1182687: A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3°F and a standard deviation of 0.69°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°F as the mean body​ temperature?
What is the confidence interval estimate of the population mean μ​?
__°F < μ < __°F
(Round to three decimal places as​ needed.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the half-interval is a t(0.995, df=107)*s/sqrt(n)=2.623*0.69/sqrt(107)=0.175
the interval is (98.125, 98.475)
This would suggest that 98.6 is too high to use as the mean body temperature, since it lies outside the confidence interval.