In: Statistics and Probability
Below is the the number of hours of TV watched by boys and girls per week. Using the data on the number of hours of TV viewing, test the hypothesis that the number of hours of TV watched by girls is less than 7.4 hours per week at a 2% significance level.
State the null hypothesis, H0 and the alternative hypothesis, H1
Observation | Number of hours of TV viewed by Boy | Number of hours of TV viewed by Girl |
1 | 8 | 10 |
2 | 7 | 10 |
3 | 8 | 10 |
4 | 11 | 8 |
5 | 8 | 9 |
6 | 7 | 11 |
7 | 9 | 8 |
8 | 9 | 9 |
9 | 9 | 10 |
10 | 12 | 10 |
11 | 12 | 8 |
12 | 11 | 12 |
13 | 8 | 8 |
14 | 12 | 8 |
15 | 9 | 7 |
16 | 9 | 6 |
17 | 10 | 11 |
18 | 9 | 8 |
19 | 12 | 10 |
20 | 8 | 16 |
21 | 11 | 8 |
22 | 10 | 7 |
23 | 8 | 10 |
24 | 9 | 9 |
25 | 11 | 9 |
26 | 9 | 9 |
27 | 7 | 6 |
28 | 14 | 9 |
29 | 6 | 12 |
30 | 8 | 11 |
31 | 10 | 9 |
32 | 9 | 10 |
33 | 8 | 9 |
34 | 5 | 10 |
35 | 6 | 11 |
36 | 11 | 7 |
37 | 8 | 5 |
38 | 14 | 8 |
39 | 6 | 10 |
40 | 8 | 8 |
41 | 12 | 9 |
42 | 8 | 10 |
43 | 10 | 10 |
44 | 9 | 10 |
45 | 9 | 7 |
46 | 10 | 9 |
47 | 6 | 6 |
48 | 9 | 12 |
49 | 13 | 7 |
50 | 8 | 8 |
Let denotes the average number of hours of TV watched by girls per week.
There is not sufficient evidence to support the claim that the number of hours of TV watched by girls is less than 7.4 hours per week at a 2% significance level.