A data set includes 110 body temperatures of healthy adult humans for which x^-

Question

A data set includes 110 body temperatures of healthy adult humans for which x^- = 98.0 degree F and s = 0.74 degree F. Complete parts (a) and (b) below. a. What is the best point estimate of the mean body temperature of healthy humans? The best point estimate is degree F. (Type an integer or a 8 decimal.) b. Using the sample statistics, construct a 90% confidence interval estimate of the mean body temperature of all healthy humans. Do the confidence interval limits contain 98.0 degree F? What does the What is the confidence interval estimate of the population mean mu? degree F mu degree F (Round to three decimal places as needed.) Do the confidence interval limits contain 98.6 degree F? Yes No What does this suggest about the use of 98.6 degree F as the mean body temperature? A. This suggests that the mean body temperature could be higher than 98.6 degree F. B. This suggests that the mean body temperature could very possibly be 98.6 degree F. C. This suggests that the mean body temperature could be lower than 98.0 degree F.

Explanation / Answer

a) the best point to estimate is just the mean that is 98.6degrees f

b)n= 110

df= 110-1=109

for confidence interval 99% 0.01 significal level tcritical value from standard t table is 2.6217

The 99% CI is just, mean +- 2.6217*S/sqrt(n)=

98.6+-2.6217*0.74sqrt110

98.6-0.1848, 98.6+0.1848

(98.4812 ,98.7848)

c) yes it is in interval of 98.48 to 98.78 so it contains 98.6

d)option b

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