A study that assessed the effectiveness of a new drug designedto reduce repetitive behaviors in children affected with autism wasconducted. A total of 8 children with autism enrolled in the studyand the amount of time that each child is engaged in repetitivebehavior during three hour observation periods were measured bothbefore treatment and then again after taking the new medication fora period of 1 week. The data is provided in the Excel spreadsheet.Using Minitab or other statistical software: 1. Conduct a WilcoxonSigned Rank test to determine whether or not the medicine waseffective in decreasing the median amount of time the child engagedin repetitive behavior. Include relevant output from Minitab anduse a significance level of ? = 0.05. 2. This test was to determinewhether or not the drug decreased the median time the child wasengaged in repetitive behavior in order to assess the effectivenessof the medicine. Do you think that the use of the median wasappropriate in this case for the sample data set or could you haveused two-sample paired t-test for the difference in the means?Answer this question by preparing a box plot to determine if thereare any outliers in the differences and assessing the normality ofthe data set with both a probability plot and histogram andexplaining your conclusion. 3. Regardless of your answer in part 2,conduct a two-sample paired t-test for the mean and determinewhether or not the medicine was effective in decreasing the medianamount of time the child engaged in repetitive behavior. Includerelevant output from Minitab and use a significance level of ? =0.05. Is your conclusion different than testing the median? Explainbriefly any differences.

Child	Before Treatment	After 1 Week of Treatment
1	85	75
2	70	50
3	40	50
4	65	40
5	80	20
6	75	65
7	55	40
8	20	25