Question

A data set includes 109 body temperatures of healthy adult humans having a mean of 98.3°F and a standard deviation of 0.54°F.

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

_______________ _________________  

Round to three decimal places as needed.

Use your responses from question 1, to answer question 2.

What does the sample suggest about the use of  98.6°F as the mean body temperature?

Group of answer choices

A. This suggests that the mean body temperature could very possibly be 98.6F.

B. This suggests that the mean body temperature could be higher than 98.6 F.

C. This suggests that the mean body temperature could be lower than 98.6F.

Answer 1

Confidence interval, CI = Z*

Sample mean, = 98.3 oF

For 99% confidence level, critical value, Z* = 2.576

Sample standard deviation, s = 0.54 oF

Sample size, n = 109

CI = 98.3 2.576 x

= 98.3 0.133

= (98.167, 98.433)

The value 98.6oF is not within the interval and the interval is below 96.6oF.

Therefore,

C. This suggests that the mean body temperature could be lower than 98.6F.