A data set includes 109 body temperatures of healthy adult humans for which x eq

Question

A data set includes 109 body temperatures of healthy adult humans for which x equals 98.2degreesF and s equals 0.62 degreesF. Complete parts (a) and (b) below. a. What is the best point estimate of the mean body temperature of all healthy humans?

The best point estimate is ? (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 98.6degreesF? 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 u? ? F < u < ? F (Round to three decimal places as needed.)

Do the confidence interval limits contain 98.6degreesF? 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.

Explanation / Answer

Ans:

a)best point estimate=sample mean=98.2

b)n=109

df=109-1=108

critical t value=tinv(0.01,108)=2.622

99% confidence interval for mean temperature

=98.2+/-2.622*(0.62/sqrt(109))

=98.2+/-0.156

=(98.044, 98.356)

*(as n>30,we can use normal distribution too,in that case CI will be (98.047, 98.353))

No,the confidence interval limits does not contain 98.6degrees F

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

(Option B is correct)

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