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Please show and explain everything ALL steps of how you get each calculation!!! QUESTION: The problems in this question use the dataset provided below which

Please show and explain everything ALL steps of how you get each calculation!!!

QUESTION: The problems in this question use the dataset provided below which contains information from a random sample of 42 students who took Statistics at Brown University in the fall term.

I) variables of interest are (A) (weekly hours a student spent consuming TV) and (B) (weekly hours a student's mother spent consuming TV). 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 (A) - (B) MWHRPNEWS to solve this problem. Use the 1% significance level. Include all steps of your hypothesis test, and make sure to justify your assumptions.

II) The variables of interest are (X) (age of some student's father) and (Y) ( 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 X - Y to solve this problem. Use the 1% significance level. Include all steps of your hypothesis test, and make sure to justify your assumptions.

DATA FOR PART a)

A B
1 5 4
2 3 0
3 12 8
4 7 14
5 12 3
6 12 7
7 5 6
8 0 3
9 7 22
10 0 3
11 17 22
12 22 4
13 0 12
14 3 4
15 7 3
16 0 0
17 7 12
18 3 7
19 0 32
20 7 5
21 0 0
22 0 12
23 5 12
24 10 5
25 6 12
26 0 0
27 3 5
28 3 7
29 9 12
30 7 12
31 3 3
32 0 3
33 4 2.5
34 4 3
35 12 32
36 6 22
37 4 3
38 8 3
39 12 7
40 5 10
41 16 32
42 12 16
43 17 12
44 4 22

DATA FOR PART b)

X Y
1 52 47
2 53 47
3 61 58
4 53 51
5 78 61
6 53 53
7 54 51
8 60 66
9 54 65
10 67 64
11 67 55
12 68 46
13 59 48
14 46 56
15 52 59
16 56 63
17 64 82
18 63 72
19 102 63
20 74 55
21 69 45
22 59 45
23 54 56
24 47 54
25 55 42
26 66 60
27 47 54
28 63 59
29 60 63
30 63 55
31 63 69
32 55 52
33 70 51
34 53 64
35 52 59
36 63 58
37 59 57
38 58 51
39 62 67
40 64 60
41 75 53
42 72 53
43 61 58
44 64 49

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