Question

A data set includes 109 body temperatures of healthy adult humans for which x overbarequals98.2degreesF and s equals 0.62 degrees Upper F. Complete parts​ (a) and​ (b) below. Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. . Click here to view page 2 of the standard normal distribution table. a. What is the best point estimate of the mean body temperature of all healthy​ humans? The best point estimate is nothingdegreesF. ​(Type an integer or a​ decimal.) b. 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 98.6degreesF as the mean body​ temperature? What is the confidence interval estimate of the population mean mu​? nothingdegreesFless thanmuless than nothingdegreesF ​(Round to three decimal places as​ needed.) Do the confidence interval limits contain 98.6degrees​F? Yes No What does this suggest about the use of 98.6degreesF as the mean body​ temperature? A. This suggests that the mean body temperature could be higher than 98.6degreesF. B. This suggests that the mean body temperature could be lower than 98.6degreesF. C. This suggests that the mean body temperature could very possibly be 98.6degreesF.

Answer 1

The statistical software output for this problem is:

One sample T summary confidence interval:
μ : Mean of population

99% confidence interval results:

Mean	Sample Mean	Std. Err.	DF	L. Limit	U. Limit
μ	98.2	0.05938523	108	98.044285	98.355715

Hence,

a) Point estimate = 98.2

b) 99% confidence interval: (98.044, 98.356)

c) No, the confidence limit doesn't contaain 98.6 degrees.

his suggests that the mean body temperature could be lower than 98.6degrees. Option B is correct.