Score: 0 of 1 pt 21 of 21 (14 complete) HW Score: 59.08%, zour 7.2.11 Question H
ID: 3065056 • Letter: S
Question
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 remainingExplanation / 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.