People gain weight when they take in more energy from food than they expend. Some researchers...
People gain weight when they take in more energy from food than they expend. Some researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. It can be concluded that mildly obese people spend less time standing and walking (on the average) than lean people. Is there a significant difference between the mean times the two groups spend lying down? Use the four-step process to answer this question from the data. (Let μ1 be the mean time spent lying down by the lean group, and μ2 be the mean time for the obese group.)
| Time (minutes per day)
spent in three different postures by lean and obese subjects |
||||
|---|---|---|---|---|
| Group | Subject | Stand/Walk | Sit | Lie |
| Lean | 1 | 513.100 | 368.300 | 550.500 |
| Lean | 2 | 606.925 | 376.512 | 448.650 |
| Lean | 3 | 318.212 | 584.138 | 535.362 |
| Lean | 4 | 583.644 | 352.144 | 484.269 |
| Lean | 5 | 573.869 | 347.994 | 512.081 |
| Lean | 6 | 545.388 | 387.312 | 501.500 |
| Lean | 7 | 679.188 | 270.188 | 463.700 |
| Lean | 8 | 556.656 | 327.219 | 570.006 |
| Lean | 9 | 372.831 | 535.031 | 536.431 |
| Lean | 10 | 501.700 | 533.838 | 396.962 |
| Obese | 11 | 265.244 | 647.281 | 519.044 |
| Obese | 12 | 467.756 | 451.644 | 516.931 |
| Obese | 13 | 371.138 | 578.662 | 563.300 |
| Obese | 14 | 418.667 | 577.662 | 530.208 |
| Obese | 15 | 346.375 | 580.662 | 509.931 |
| Obese | 16 | 421.531 | 562.556 | 449.856 |
| Obese | 17 | 362.650 | 617.262 | 461.550 |
| Obese | 18 | 271.344 | 645.181 | 504.981 |
| Obese | 19 | 415.631 | 570.769 | 449.706 |
| Obese | 20 | 427.356 | 595.369 | 408.919 |
| SOLVE: | Find the size, mean and standard deviation of each group.
(Round your means and standard deviations to four decimal places.)
Calculate the test statistic. (Round your answer to three decimal places.) t = |
Homework Answers
| Lean | Obese | |
| 499.9461 | 491.4426 | x |
| 52.7002 | 46.8780 | s |
| 10 | 10 | n |
t = 0.381
| Lean | Obese |
| 550.5 | 519.044 |
| 448.65 | 516.931 |
| 535.362 | 563.3 |
| 484.269 | 530.208 |
| 512.081 | 509.931 |
| 501.5 | 449.856 |
| 463.7 | 461.55 |
| 570.006 | 504.981 |
| 536.431 | 449.706 |
| 396.962 | 408.919 |
Add Answer to:
People gain weight when they take in more energy from food than
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It appears that people who are mildly obese are less active than leaner people. One study...
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 374 minutes and standard deviation 64 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 522 minutes and standard deviation 104...
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