Question
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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