A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. Two groups of 25 overweight adults are used, with a subject in each group matched to a similar subject in the other group on the basis of a number of physiological variables. One group is placed on a regular program of vigorous exercise with no restriction on diet, and the other group is placed on a strict diet with no requirement to exercise. The weight loss after 20 weeks is determined for each subject, and the difference between the matched pairs of subjects, the weight loss of each subject in the exercise group minus the weight loss of the matched subject in the diet group, is computed. The mean of these differences in weight loss is found to be –2 pounds with standard deviation s = 6 pounds. Is this evidence of a difference in mean weight loss for the two methods? To test this, consider the population of differences, the weight loss an overweight adult would experience after 20 weeks on the exercise program minus the weight loss the same adult would experience after 20 weeks on the strict diet. Let u be the mean of this population of differences, and assume their distribution is approximately Normal. We test the hypotheses Ho : µ = 0 versus Ha : µ > 0 using the matched pairs t test. The P-value for this test is: larger than 0.1. between 0.1 and 0.05. below 0.01. O between 0.05 and 0.01 O O
A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. Two groups of 25 overweight adults are used, with a subject in each group matched to a similar subject in the other group on the basis of a number of physiological variables. One group is placed on a regular program of vigorous exercise with no restriction on diet, and the other group is placed on a strict diet with no requirement to exercise. The weight loss after 20 weeks is determined for each subject, and the difference between the matched pairs of subjects, the weight loss of each subject in the exercise group minus the weight loss of the matched subject in the diet group, is computed. The mean of these differences in weight loss is found to be –2 pounds with standard deviation s = 6 pounds. Is this evidence of a difference in mean weight loss for the two methods? To test this, consider the population of differences, the weight loss an overweight adult would experience after 20 weeks on the exercise program minus the weight loss the same adult would experience after 20 weeks on the strict diet. Let u be the mean of this population of differences, and assume their distribution is approximately Normal. We test the hypotheses Ho : µ = 0 versus Ha : µ > 0 using the matched pairs t test. The P-value for this test is: larger than 0.1. between 0.1 and 0.05. below 0.01. O between 0.05 and 0.01 O O
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
Related questions
Topic Video
Question
Help please!
Transcribed Image Text:A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. Two groups of 25
overweight adults are used, with a subject in each group matched to a similar subject in the other group on the basis of a
number of physiological variables. One group is placed on a regular program of vigorous exercise with no restriction on
diet, and the other group is placed on a strict diet with no requirement to exercise. The weight loss after 20 weeks is
determined for each subject, and the difference between the matched pairs of subjects, the weight loss of each subject in
the exercise
group
minus the weight loss of the matched subject in the diet group, is computed. The mean of these
differences in weight loss is found to be -2 pounds with standard deviation s =
6 pounds. Is this evidence of a difference
in mean weight loss for the two methods? To test this, consider the population of differences, the weight loss an
overweight adult would experience after 20 weeks on the exercise program minus the weight loss the same adult would
experience after 20 weeks on the strict diet. Let u be the mean of this population of differences, and assume their
distribution is approximately Normal. We test the hypotheses Ho : u =
0 versus Ha : µ > 0 using the matched pairs t
test.
The P-value for this test is:
larger than 0.1.
between 0.1 and 0.05.
below 0.01.
between 0.05 and 0.01.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt