Question

In: Statistics and Probability

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         516.100 366.300 553.500
Lean 2         612.925 378.512 449.650
Lean 3         314.212 581.138 540.362
Lean 4         589.644 354.144 486.269
Lean 5         575.869 347.994 519.081
Lean 6         543.388 389.312 509.500
Lean 7         676.188 264.188 462.700
Lean 8         552.656 325.219 565.006
Lean 9         379.831 534.031 528.431
Lean 10         505.700 526.838 396.962
Obese 11         262.244 648.281 525.044
Obese 12         469.756 451.644 510.931
Obese 13         371.138 575.662 563.300
Obese 14         410.667 574.662 527.208
Obese 15         345.375 579.662 507.931
Obese 16         421.531 570.556 443.856
Obese 17         353.650 617.262 460.550
Obese 18         272.344 641.181 511.981
Obese 19         415.631 570.769 447.706
Obese 20         423.356 589.369 410.919
SOLVE: Find the size, mean and standard deviation of each group. (Round your means and standard deviations to four decimal places.)
n

x

s
Lean
Obese    

Solutions

Expert Solution

Using Minitab:

  • Choose Stat > Basic Statistics > Display Descriptive Statistics.
  • In Variables, enter 'Stand/Walk' Sit Lie
  • In By variables (optional), enter Group

Click OK in each dialog box

Hope this will be helpful. Thanks and God bless you :)


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