7.38 Food intake and weight gain. If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for eight weeks, so they consumed a total of 56,000 extra calories.18 According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500= 16 pounds (lb). Here are the weights before and after the eight-week period, expressed in kilograms (kg): WTGAIN Subject 1 2 3 4 5 6 7 8 75.6 70.7 53.3 Weight before 55.7 54.9 59.6 62.3 74.2 Weight after 61.7 58.8 66.0 66.2 79.0 82.3 74.3 59.3 Subject 9 10 11 12 13 14 15 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 Weight after 79.1 66.0 73.4 76.9 93.1 63.0 68.2 W ore 16 57.8 60.3 (d) Convert the mean weight gain in kilograms to mean weight gain in pounds. Because there are 2.2 kg per pound, multiply the value in kilograms by 2.2 to obtain pounds. Do the same for the standard deviation and the confidence interval. (e) Test the null hypothesis that the mean weight gain is 16 lb. Be sure to specify the null and alternative
7.38 Food intake and weight gain. If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for eight weeks, so they consumed a total of 56,000 extra calories.18 According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500= 16 pounds (lb). Here are the weights before and after the eight-week period, expressed in kilograms (kg): WTGAIN Subject 1 2 3 4 5 6 7 8 75.6 70.7 53.3 Weight before 55.7 54.9 59.6 62.3 74.2 Weight after 61.7 58.8 66.0 66.2 79.0 82.3 74.3 59.3 Subject 9 10 11 12 13 14 15 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 Weight after 79.1 66.0 73.4 76.9 93.1 63.0 68.2 W ore 16 57.8 60.3 (d) Convert the mean weight gain in kilograms to mean weight gain in pounds. Because there are 2.2 kg per pound, multiply the value in kilograms by 2.2 to obtain pounds. Do the same for the standard deviation and the confidence interval. (e) Test the null hypothesis that the mean weight gain is 16 lb. Be sure to specify the null and alternative
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 88CR
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Transcribed Image Text:7.38 Food intake and weight gain. If we increase
our food intake, we generally gain weight. Nutrition
scientists can calculate the amount of weight gain that
would be associated with a given increase in calories.
In one study, 16 nonobese adults, aged 25 to 36 years,
were fed 1000 calories per day in excess of the calories
needed to maintain a stable body weight. The subjects
maintained this diet for eight weeks, so they consumed a
total of 56,000 extra calories.18 According to theory, 3500
extra calories will translate into a weight gain of 1 pound.
Therefore, we expect each of these subjects to gain
56,000/3500 = 16 pounds (lb). Here are the weights
before and after the eight-week period, expressed in
kilograms (kg):
WTGAIN
Subject
1
2
3
Weight before 55.7 54.9 59.6
Weight after
4
5
6
7
8
62.3
74.2 75.6 70.7
53.3
61.7 58.8 66.0 66.2 79.0 82.3 74.3 59.3
Subject
9
10 11 12 13 14 15
Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7
Weight after 79.1 66.0 73.4 76.9 93.1 63.0 68.2
W
wr
ore
16
57.8
60.3
(d) Convert the mean weight gain in kilograms to mean
weight gain in pounds. Because there are 2.2 kg per
pound, multiply the value in kilograms by 2.2 to obtain
pounds. Do the same for the standard deviation and the
confidence interval.
(e) Test the null hypothesis that the mean weight gain
is 16 lb. Be sure to specify the null and alternative
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