statistics

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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,