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 Find the mean (x bar) and the standard deviation (s) for the weight change. (Round your answers to four decimal places.) Calculate the standard error se and the margin of error me for 95% confidence. (Round your answers to four decimal places.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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 |
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