Hello! Thank you for your help in advance! I am really struggling with the t-test concept. Your help is appreciated. 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 8 weeks, so they consumed a total of 56,000 extra calories. 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 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Carry out the test. (Round your answer for t to three decimal places.) t = ? Give the P-value. (Round your answer to four decimal places.)
Hello! Thank you for your help in advance! I am really struggling with the t-test concept. Your help is appreciated. 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 8 weeks, so they consumed a total of 56,000 extra calories. 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 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Carry out the test. (Round your answer for t to three decimal places.) t = ? Give the P-value. (Round your answer to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Hello! Thank you for your help in advance! I am really struggling with the t-test concept. Your help is appreciated.
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 8 weeks, so they consumed a total of 56,000 extra calories. 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 8-week period, expressed in kilograms (kg).
| Subject | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Weight before | 55.7 | 54.9 | 59.6 | 62.3 | 74.2 | 75.6 | 70.7 | 53.3 |
| Weight after | 61.7 | 58.7 | 66.0 | 66.2 | 79.1 | 82.2 | 74.2 | 59.3 |
| Subject | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| Weight before | 73.3 | 63.4 | 68.1 | 73.7 | 91.7 | 55.9 | 61.7 | 57.8 |
| Weight after | 79.1 | 66.1 | 73.5 | 76.8 | 93.0 | 63.0 | 68.1 | 60.2 |
Carry out the test. (Round your answer for t to three decimal places.)
t = ?
Give the P-value. (Round your answer to four decimal places.)
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