Refer to the data of Exercise of 11.8. Calculate a 95% confidence interval for β0. What is the interpretation of H0: β1 = 0 for the problem in Exercise 11.8? Test the hypotheses H0: β0 = 0 versus Ha: β0 ≠ 0.

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11.16 Refer to the data of Exercise of 11.8.

  1. Calculate a 95% confidence interval for β0.
  2. What is the interpretation of H0: β1 = 0 for the problem in Exercise 11.8?
  3. Test the hypotheses H0: β0 = 0 versus Ha: β0 ≠ 0.

d. Determine the p-value of the test of H0: β0 = 0.

 

NoItems 1 111
Time
4.8 14.7 13.7
NoItems 3 3
Time
3
20.8 26.8 12.9
NoItems 5 5
Time
17.2 18.1 17.9
Noltems 7 8 8
Time 21.5 26.5 28.2
Noltems 10 10 10
Time 25.2 28.2 22.6
5 56
Noltems 17 18 18
Time 32.5 39.5 39.0
Noltems 27
Time
9.5
1
2.4
3 3 4
13.0 15.4 10.8
6
12.9 19.6 27.9
11
31.3
8 8 8
26.1 28.2
25.1
18
37.0
1 2 2 2 2 2 3 3 3
11.8 10.5 12.0 14.3 16.4 17.9 14.5 16.7 20.1
11 11
27.2
19
35.5
31
37
30 30
46.1 42.9 48.3 46.0 48.2
28.8
20
38.3
39
54.7
4 4 4 4 4
20.3 22.3 20.0 21.9 20.7
6 6 6 6 6 7
22.2 23.2 17.5
15.3 21.8 17.9
899
22.3 21.8 25.5
11 12 12
29.7
34.3
27.9
21
44.0
22
39.6
40
49.9 55.4
3
16.8
4 4 4 5
20.9
19.9 17.1 19.1
23 24 25
42.3
34.6 44.9
41 45 46
57.1 52.4
999 10 10 10
24.4 18.1 26.7
24.6 30.1 21.5
7 7 7
20.1 18.9 29.3
12 12 14 14 15 16
29.7
28.7
34.6
38.0 28.0
37.0
25 26 27
25
47.4 49.2 45.8 44.0
Transcribed Image Text:NoItems 1 111 Time 4.8 14.7 13.7 NoItems 3 3 Time 3 20.8 26.8 12.9 NoItems 5 5 Time 17.2 18.1 17.9 Noltems 7 8 8 Time 21.5 26.5 28.2 Noltems 10 10 10 Time 25.2 28.2 22.6 5 56 Noltems 17 18 18 Time 32.5 39.5 39.0 Noltems 27 Time 9.5 1 2.4 3 3 4 13.0 15.4 10.8 6 12.9 19.6 27.9 11 31.3 8 8 8 26.1 28.2 25.1 18 37.0 1 2 2 2 2 2 3 3 3 11.8 10.5 12.0 14.3 16.4 17.9 14.5 16.7 20.1 11 11 27.2 19 35.5 31 37 30 30 46.1 42.9 48.3 46.0 48.2 28.8 20 38.3 39 54.7 4 4 4 4 4 20.3 22.3 20.0 21.9 20.7 6 6 6 6 6 7 22.2 23.2 17.5 15.3 21.8 17.9 899 22.3 21.8 25.5 11 12 12 29.7 34.3 27.9 21 44.0 22 39.6 40 49.9 55.4 3 16.8 4 4 4 5 20.9 19.9 17.1 19.1 23 24 25 42.3 34.6 44.9 41 45 46 57.1 52.4 999 10 10 10 24.4 18.1 26.7 24.6 30.1 21.5 7 7 7 20.1 18.9 29.3 12 12 14 14 15 16 29.7 28.7 34.6 38.0 28.0 37.0 25 26 27 25 47.4 49.2 45.8 44.0
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