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.
Determine the critical values that divide the rejection and nonrejection regions
| 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 |
Vs
The population average time of girls watching T.V.
sample mean
level of significance iff-
is the
percentile value of the "t-distribution" with n-1 df.
9.08
, so we fail to reject the Null Hypothesis at 0.02 level of
significance and conclude on the basis of given data that the
number of hours of TV watched by girls is not less than
7.4 hours per week at a 2% significance
level.I hope this clarifies your doubt. If you're satisfied with the
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