6. A law school releas admissions data from past years. The median score on the LSAT for accepted students was 1671 [Scores on the LSAT range from 120 to 180 points.] The first and third quartiles of LSAT scores for aooepted students were 155 and 173 points. respectively. {a} Roughly sketch a histogram for what the LSAT scom for accepted students might look like based on the information given. [it] Suppose you are applying to this law school, and you read about an experiment for a new LSAT test-prepa ration course. Tim hundred students participated. Of these. 100 were randomly chosen to take the course. They got an average score of 166 points, with an SD of 1? points. The other 100 students did not take the course and studied on their own. TheyI got an average score of 165 points, with an SD of 18 points. Calculate the twosample 2 test statistic and pvalue for the null hypothesis that the course does not affect scores. (:1 Based on the results of [b]. do you think it is worth paying $250 to take this course? This a subjective question and there is no \"correct" answer, but explain your reasoning [d] What ifthe experiment had instead involved 10,000 students in each group? what changa in your work from [h]? (e) Based on the results of [d]. do you think it is worth paying $250 to take this course? Again, there is no \"correct\" answer. but explain your reasoning