Score: 0 of 1 pt 21 of 21 (14 complete) HW Score: 59.08%, zour 7.2.11 Question H

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Score: 0 of 1 pt 21 of 21 (14 complete) HW Score: 59.08%, zour 7.2.11 Question Hep A data setincludes 106 body temperatures of healthy adult humans having a mean of 98 9 F and a standard devia on oro 62 F Construct a 9g% confidence inten al e mateofthem an bode healthy humans What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to viewa t distribution table Click here to view page 1 of the standard normal distibution table Click here to view page 2 of the standard normal distnbution table What is the confidence interval estimate of the population mean ? (Round to three decimal places as needed ) Enter your answer in the edit fields and then click Check Answer Clear All part remaining

Explanation / Answer

(a)

n = Sample size = 106

xbar = Sample mean = 98.9

s = Sample SD = 0.62

alpha = 0.01

SE = s/sqrt(n) = 0.62/sqrt(106) = 0.0602

From Table, critical value of Z = 2.576

99% Confidence interval:

Lower limit = xbar - Z SE

              = 98.9 - 2.576 X 0.0602

              = 98.9 - 0.1551

            = 98.745

Upper limit = 98.9 + 0.1551 = 99.055

Confidence interval for population mean mu is given by:

98.745 < mu < 99.055

(b)

It is noted that 98.6 lies outside the confidence interval. This suggests that it is incorrect to use 98.6 as mean body temperature.

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