For the following questions, determine whether to use a parametric or non-parametric test (look at assumptions or test for normality). Perform the hypothesis testing in R and write down the results and the R commands you used. Draw the distribution with the critical values. Where needed perform tests at=0.05. Make conclusions using both the p-value and test statistic.Underline your answers.

B) You are asked to test whether pollution levels in a nearby pond are reduced by stopping industrial waste dumping. Here the values of pollution at each site:

With dumping (before): 214, 159, 169, 272, 103, 179, 200, 149, 132, 148, 194, 104, 219, 119, 234

Without dumping (after): 159, 135, 141, 101, 102, 168, 62, 167, 174, 159, 66, 118, 181, 171, 112

1)First state the null and alternative hypothesis.

2)Does stopping waste dumping decrease levels of pollution in the pondassume the datais normally distributed)?

3)Does stopping waste dumping decrease levels of pollution in the pondassume the datais not normally distributed)?

4)Plot both the With dumping and Without dumping values in different colors and symbols on the same plot. Label both axes.

D)You are asked to compare the average wing size (in cm) of two groups ofDrosophila melanogaster. The first group consists ofDrosophilafrom brazil; the second group is North AmericaDrosophila. The data are given below.

Brazilian = 18, 22, 21, 17, 20, 17, 23, 20, 22 ,21

North America = 16, 17, 14, 21, 19, 18, 13, 15, 17, 21

5)First state the null and alternative hypothesis.

6)Is the wing size equal in both groups (assume the datais normally distributed and the variances are equal)?

7)Is the wing size equal in both groups (assume the datais not normally distributed)?