To learn the effectiveness of an exercise regimen, a physical therapist randomly selects 10 women to participate in a study. She measures their waistlines before a rigorous exercise program and 8 weeks after the program begins and obtains the following data:   Waistline Before    23.5      18.5        21.5     24        25      19.75       35        36.5      52      30 Waistline After     19.75     19.25    21.75    22.5      25      19.5        34.25    35         51.5     31     At the 0.05 level of significance, is there enough evidence to show that the waistline decreased after the rigorous exercise program? Use any method.

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To learn the effectiveness of an exercise regimen, a physical therapist randomly selects 10 women to participate in a study. She measures their waistlines before a rigorous exercise program and 8 weeks after the program begins and obtains the following data:

 

Waistline Before    23.5      18.5        21.5     24        25      19.75       35        36.5      52      30

Waistline After     19.75     19.25    21.75    22.5      25      19.5        34.25    35         51.5     31

 

 

At the 0.05 level of significance, is there enough evidence to show that the waistline decreased after the rigorous exercise program? Use any method.

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