Please use R, provide complete answer with code 2. Seven students volunteered to compare study guides for an advanced mathematics course. They were randomly assigned, four to study guide A and three to study guide B. All were instructed to study independently. Following a two-day study period, all students were given an examination about the material covered by the guides, with the following results: Study Guide A scores: 68; 77; 82; 85 Study Guide B scores: 53; 64; 71 21) Follow the below steps to perform a randomization test to examine any significant difference between the test scores under the above two study guides. 1. Specify the null and alternative hypotheses. 2. Obtain the critical values based on the initial random grouping. 3. There are 35 possible ways that these students could have been randomized into two groups (combination of 4 out of 7; C47). Create these regroupings. You can use R or excel. 4. For each regrouping set, calculate 6 (i.e., the difference between two sample means). You will have 35 6'5. 5. Count the number of 6that are (in absolute value) greater than the original 6. 6. Calculate the p-Value according to the alternative hypothesis dened above. 7. State your conclusion. b) Can we make "causal inference\" and \"inference to population\" in this study? Explain