A data set includes 109 body temperatures of healthy adult h

A data set includes 109 body temperatures of healthy adult humans for which x overbarxequals=98.2°F and s equals 0.62 degrees Upper Fs=0.62°F. Complete parts (a) and (b) below.What is the best point estimate of the mean body temperature of all healthy humans?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 98.6degrees°F? What does the sample suggest about the use of 98.6degrees°F as the mean body temperature?What is the confidence interval estimate of the population mean ?

Solution

What is the best point estimate of the mean body temperature of all healthy humans

X = 98.2°F

construct a 99% confidence interval estimate of the mean body temperature of all healthy humans

apha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

df = 108

t = 1.987

I: 98.2 +/- 1.987 * 0.62 / srqt(109)

I: 98.2 +/- 0.118

98.082 < miu < 98.318

Do the confidence interval limits contain 98.6degrees°F? No because the upper limit is 98.318

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