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 Report the 95% confidence interval for weight change in a sentence that explains the meaning of the 95%. (Round your answers to four decimal places.) Based on a method that gives correct results 95% of the time, the mean weight change is ____ kg to _____ kg. Convert the mean weight gain and standard deviation in kilograms to pounds. Because there are 2.2 kg per pound, multiply the value in kilograms by 2.2 to obtain pounds. (Round your answer to four decimal places.)
Unitary Method
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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 |
Report the 95% confidence interval for weight change in a sentence that explains the meaning of the 95%. (Round your answers to four decimal places.) Based on a method that gives correct results 95% of the time, the
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