The problems in this question use the dataset SummerStudents.xlsx, a file that contains information from a random sample of 44 students who took Statistics at Boston University in the summer term.

(a) Your variables of interest are YWHRPNEWS (weekly hours a student spent consuming election news coverage) and MWHRPNEWS (weekly hours a student's mother spent consuming election news coverage). Use the proper analytical and graphical tools in R to test whether there is significant evidence that, on average, the weekly hours a student spends on election news coverage is less than the weekly hours their mom spends on election news coverage. Use the paired difference YWHRPNEWS - MWHRPNEWS to solve this problem. Use the 1% significance level. Include all steps of your hypothesis test, and make sure to justify your assumptions. (7 marks)

(b) The variables of interest are DAGE (the age of a student's father) and MAGE (the age of a student's mother). Use the proper analytical and graphical tools in R to test whether there is significant evidence that, on average, the age of a students' father is greater than the age of a student's mother. Use the paired difference DAGE - MAGE to solve this problem. Use the 1% significance level. Include all steps of your hypothesis test, and make sure to justify your assumptions. (7 marks)