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A research team aims to compare the level of physical activity of lean and mildly obese people who don't exercise. The dataset Activity includes the

A research team aims to compare the level of physical activity of lean and mildly obese people who don't exercise. The dataset Activity includes the number of minutes per day that the subjects of this study spent standing or walking over a 12-day period.

a) Are the samples independent? Assuming that all the required conditions are met, what would it be the appropriate parametric test for this study? Explain your answers.

b) Create histograms and boxplots to examine the distribution of the amount time per day spent standing or walking by type of subject. Comment on the suitability of using a parametric test to address the question of interest.

c) Regardless of you answer to part b), specify the name of an appropriate non-parametric test for this study. State the corresponding hypotheses in terms of the median activity level per day for lean and mildly obese subjects and test for a difference at the 5% significance level. Make sure you follow all the steps for hypothesis testing indicated in the Instructions section, show your computations, and confirm your results using statistical software.

Lean Subject Obese Subject
511.1 260.244
607.925 464.756
319.212 367.138
584.644 413.667
578.869 347.375
543.388 416.531
677.188 358.65
555.656 267.344
374.831 410.631
504.7 426.356
701.143 470.123
688.456 493.987
511.1
325.845

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