One researcher reported on a study in which resting energy expenditure (REE in kcal/d) was determined for a sample of n = 8 subjects both while on an intermittent fasting regimen (IF) and while on a standard diet( (Std) The data Is shown as follows: Std REE 1755.0 1691.1 1697.1 1477.7 1785.2 1669.7 1901.3 1735.3 For your convenience, you can select, copy, paste the data as follows: (1753.7, 1604.4, 1576.5, 1279.7, 1754.2, 1695.5, 1700.1, 1717.0) and (1755.0, 1691.1, 1697.1, 1477.7, 1785.2, 1669.7, 1901.3, 1735.3) 1. (5 pts) Suppose we have no idea about the distribution of REE data above and also consider the small sample size, which test is the most appropriate for testing whether there is a signicant difference between IF REE group and Std REE group? Briey explain why. 2. (7 pts) Using R, run the test in Part 1 with a = 0.1 . Write down your R code on the paper about how to call a suitable base R function with correct parameters rst. Then, get the numerical result of the p-value from the computer to draw your conclusion explicitly. 3. (5 pts) Assuming we also know the REE data in Part 1 actually follow the normal distribution, which test is the most suitable? Briey explain why. 4. (8 pts) Using R, run the test in Part 3 with a = 0.1 . Write down your R code on the paper about how to call a suitable base R function with parameters rst. Then, get the numerical result of the p-value from the computer to draw your conclusion explicitly. 5. (5 pts) Suppose the researcher got more research funding later and then redo the above experiments with another different n = 8 subjects separately and collect the sample Std REE data from them. It turned out that their Std REE data were exactly the same as the second row of the table shown above (by coincidence). In this case, assuming we still have no idea about the distribution of REE data, what test should the researcher choose to test whether there is a signicant difference between IF REE group from Part 1 and Std REE group obtained in Part 5? 6. (10 pts) Using R, run the test in Part 5 with a = 0.1 . Show your R code on the paper about how to call a suitable base R function with parameters rst. Then, get the numerical result of the p-value from the computer to draw your conclusion explicitly