statistics
QUESTION:
Ask yourself, “during the school year, how many hours do I spend, on average on school related work per week – for example, reading books, attending class, doing homework, and writing papers. Record your value of estimated hours spent per week. Then ask a random sample of at least 10 students the same question. Test the hypothesis using a = .05 that the average of all the students is the same as yours. Then I want you to create a 95% confidence interval of average of all students.
Hours spent on school work per week
Hours spent on school work per week
13 (Week 1)
11
12
10
10
9
16
10
14
12
16
8
13
10
8
7 (Week 16)
3.16
The decision is, We can’t reject the null hypothesis. Because the test statistics is less than the critical value (1.11<2.131)
At 0.05 level of significance, we have no strong enough evidence to reject null hypothesis.
HYPOTHESIS:
Ho(null): = 10
Ha(alternative): 10
Level of significance chosen = 0.05
| Students | Hours Per Week |
| 1 | 12 |
| 2 | 15 |
| 3 | 15 |
| 4 | 20 |
| 5 | 25 |
| 6 | 15 |
| 7 | 15 |
| 8 | 25 |
| 9 | 20 |
| 10 | 10 |
Critical value = 2.262 (from t table) (n-1)= t =(9)= 2.262
t= = = = 4.47
4.47 > (9),2.262 I reject the null hypothesis
I spend 10 hours each week for the school. The students selected as sample’s school and work is more than my average,