Students in a semester-long health-fitness program have

Chapter 7, Problem 9E

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QUESTION:

Students in a semester-long health-fitness program have their percentage of body fat measured at the beginning of the semester and at the end of the semester. The following measurements give these percentages for 10 men and for 10 women:

(a) Find a \(90 \%\) confidence interval for the mean of the difference in the percentages for the males.

(b) Find a \(90 \%\) confidence interval for the mean of the difference in the percentages for the females.

(c) On the basis of these data, have these percentages decreased?

(d) If possible, check whether each set of differences comes from a normal distribution.

Equation Transcription:

 

Text Transcription:

 90%

Questions & Answers

QUESTION:

Students in a semester-long health-fitness program have their percentage of body fat measured at the beginning of the semester and at the end of the semester. The following measurements give these percentages for 10 men and for 10 women:

(a) Find a \(90 \%\) confidence interval for the mean of the difference in the percentages for the males.

(b) Find a \(90 \%\) confidence interval for the mean of the difference in the percentages for the females.

(c) On the basis of these data, have these percentages decreased?

(d) If possible, check whether each set of differences comes from a normal distribution.

Equation Transcription:

 

Text Transcription:

 90%

ANSWER:

Step 1 of 7

Given:

The percentage of body fat measured at the beginning of the semester and at the end of the semester for males and females is provided.

The sample number of males is 10.

The sample number of females is 10.

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