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A data set includes 108 body temperatures of healthy adult humans for which x=98

ID: 3357643 • Letter: A

Question

A data set includes 108 body temperatures of healthy adult humans for which x=98.2°F and s=0.64°F.

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

a. what is the confidence interval estimate of the population mean ?

??°F < < ??°F (round to THREE decimal places as needed)

b. do the confidence interval limits contian 98.6°F? YES or NO?

c. what does this suggest about the use of 98.6°F as the mean body temp?

(A) this suggests that the mean body temp could be lower than 98.6°F

(B) this suggests that the mean body temp could very possibly be 98.6°F

(C) this suggests that the mean body temp could be higher than 98.6°F

Explanation / Answer

The statistical software output for this problem is:

One sample T summary confidence interval:
: Mean of population

99% confidence interval results:

Hence,

a) 99% confidence interval:

98.038 < < 98.362

b) This suggests that the mean body temp could be lower than 98.6°F.

Option A is correct.

Mean Sample Mean Std. Err. DF L. Limit U. Limit 98.2 0.061584029 107 98.038492 98.361508