Is it true that students tend to gain weight during their first year in college? Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables such as sex and ethnicity. The students were weighed during the first week of the semester, then again 12 weeks later at the end of the semester (weights are in pounds). Below is the link to the data source,

https://dasl.datadescription.com/datafile/freshman-15/?_sfm_methods=Paired+Data&_sfm_cases=4+59943

Answer or perform the following:

1. 1)Construct a dotplot depicting the distribution of the change in the students' weights
2. from the beginning of the semester to the end of the semester.- 1.5 pts
3. 2)Provide an estimate of the mean change in weight for freshman students.- 1/2 pt
4. 3)Suppose Professor Levitsky wishes to use the data he collected from his students in a research paper. He wants to prove freshman students tend to gain weight during their first semester in college.
5. Frame this research question as a hypothesis testing problem. Identify the parameter being tested, the null value, and explicitly write out the null and alternative hypothesis in terms of the parameter and null value.- 1 pt
6. 4)Carry out the hypothesis tests you suggested in part 3 at level of significance0= 0.05. What would be your conclusion - accept or reject the null hypothesis?- 1.5 pts
7. 5)Tying the results of the hypothesis testing problem back into Professor Levitsy's goals, does the result of the hypothesis test support or refute his theory on freshman weight gain.- 1/2 pt