5. A health spa claims that a new exercise program will reduce a person 's waist size at least 2 centimeters on average over a 5-day period. The waist sizes, in centimeters, of six men who participated in this exercise program are recorded before and after the 5-day period in the following table:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 21PPS
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5. A health spa claims that a new exercise program will reduce a person 's waist size at
least 2 centimeters on average over a 5-day period. The waist sizes, in centimeters, of
six men who participated in this exercise program are recorded before and after the
5-day period in the following table:
Man | Waist Size Before
90.4
95.5
98.7
115.9
104.0
85.6
Waist Size After
91.7
93.9
97.4
3.
4.
5n
6.
112.8
101.3
84.0
By computing a 96%confidence interval for the mean reduction in waist size, determine
whether the health spa's claim is valid. Assume the distribution of differences in waist
sizes before and after the program to be approximately normal.
Transcribed Image Text:5. A health spa claims that a new exercise program will reduce a person 's waist size at least 2 centimeters on average over a 5-day period. The waist sizes, in centimeters, of six men who participated in this exercise program are recorded before and after the 5-day period in the following table: Man | Waist Size Before 90.4 95.5 98.7 115.9 104.0 85.6 Waist Size After 91.7 93.9 97.4 3. 4. 5n 6. 112.8 101.3 84.0 By computing a 96%confidence interval for the mean reduction in waist size, determine whether the health spa's claim is valid. Assume the distribution of differences in waist sizes before and after the program to be approximately normal.
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