Good day tutors I would like some detailed and clear steps in solving the following statistical exercise down below

You witnessed a heated argument between two of your friends - one a student from the Faculty of Science and Technology, the other a student from the Faculty of Social Sciences. The argument was that the Science and Technology student believed that he got less sleep than the Social Sciences student due to the type of degree he was doing. Your friend in Social Sciences believed otherwise. As a statistician, you know that empirical data will help to settle this disagreement. Presented below is data on sleep times that you collected from both Science and Technology and Social Sciences students. Social Sciences Students: 6.0 7.0 8.0 6.5 8.0 5.0 4.5 11.75 Science & Technology Students: 7.0 6.0 9.0 6.0 6.0 8.0 6.0 7.5 Normal Q-Q Plot of Amount of Sleep 10- Expected Normal Value Amount of Sleep Observed Value a) Construct a 90% confidence interval for the difference in population mean sleep times for Science & Technology and Social Sciences students.d) Using the appropriate inferential method, test your Science & Technology friend's claim. e) Based on the necessary assumptions, was the inferential method you used appropriate. Give reasons for your