Question

A data set includes 109 body temperatures of healthy adult humans for which x equals 98.2degreesF...

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.

Homework Answers

Answer #1

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)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A data set includes 109 body temperatures of healthy adult humans for which x overbarequals98.2degreesF and...
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...
A data set includes 103 body temperatures of healthy adult humans for which x overbarequals98.9degreesF and...
A data set includes 103 body temperatures of healthy adult humans for which x overbarequals98.9degreesF and s equals 0.67 degrees Upper F. Complete parts​ (a) and​ (b) below. A. What is the best point estimate of the mean body temperature of all healthy​ humans? 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 98.6 degrees°​F? What does the sample suggest about the use...
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2degreesF...
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2degreesF and a standard deviation of 0.65degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. 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 μ​? degrees°F less than<muμless than<degrees°F ​(Round to three decimal places as​ needed.) What does this suggest about the...
A data set includes 109 body temperatures of healthy adult humans having a mean of 98.3degrees°F...
A data set includes 109 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.54degrees°F.Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of98.6degrees°Fas the mean body​ temperature? What is the confidence interval estimate of the population mean muμ​? ____°F <μ<____°F ​(Round to three decimal places as​ needed.) What does this suggest about the use of 98.6degrees°F as the...
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degreesF...
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degreesF and a standard deviation of 0.69degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. 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 μ​? _____degrees°F < μ <______degrees°F ​(Round to three decimal places as​ needed.) What does this suggest about the...
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesF...
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesF and a standard deviation of 0.67degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. 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 muμ​? ?°Fless < μ <?°F ​(Round to three decimal places as​ needed.) What does this suggest about the...
A data set includes 109 body temperatures of healthy adult humans having a mean of 98.3°F...
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...
A data set includes 105 body temperatures of healthy adult humans having a mean of 98.7degreesF...
A data set includes 105 body temperatures of healthy adult humans having a mean of 98.7degreesF and a standard deviation of 0.64degreesF. Construct a 99 % confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6degreesF as the mean body temperature?
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2degreesF...
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2degreesF and a standard deviation of 0.65degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6degreesF as the mean body​ temperature?
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1degreesF...
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1degreesF and a standard deviation of 0.56degreesF. Construct a 99​% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6degreesF as the mean body​ temperature?