An experiment sought to discover if a course on nutrition would influence the Body Mass Index (BMI) of the students enrolled. Measures of body fat percentages were taken before the yearlong course and then again at the end of the course for each of the 10 students. The data are as follows:  Student:        1          2          3          4          5          6          7          8             9       10            Before:     16.85   18.62   35.79   22.66   18.74   22.25   19.95    14.61     27.49   20.00        End:     16.42   18.53   36.01   22.53   18.59   22.03   19.25   14.06     26.11   19.42       Test the hypothesis at the 0.05 level of significance that the mean body fat percentages of the students decreased by the end of the course.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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        An experiment sought to discover if a course on nutrition would influence the Body Mass Index (BMI) of the students enrolled. Measures of body fat percentages were taken before the yearlong course and then again at the end of the course for each of the 10 students. The data are as follows:

 Student:        1          2          3          4          5          6          7          8             9       10         

  Before:     16.85   18.62   35.79   22.66   18.74   22.25   19.95    14.61     27.49   20.00

       End:     16.42   18.53   36.01   22.53   18.59   22.03   19.25   14.06     26.11   19.42      

Test the hypothesis at the 0.05 level of significance that the mean body fat percentages of the students decreased by the end of the course.

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