A company building wind power generating turbines wishes to test two new models, A and B. The two types of turbines are installed at 12 sites across Canada, and the average hourly energy outputs are measured for both models. The results of the measurements are summarized in the following table, a) Can these two samples be treated as independent? Why or why not? b) Construct a 95% confidence interval on the difference between the energy outputs. c) Based on the result of part b), is there an indication that one model produces more energy than the other? If yes, which one?

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A company building wind power generating turbines wishes to test two new models, A and B. The two types of turbines are installed at 12 sites across Canada, and the average hourly energy outputs are measured for both models. The results of the measurements are summarized in the following table,

a) Can these two samples be treated as independent? Why or why not?

b) Construct a 95% confidence interval on the difference between the energy outputs.

c) Based on the result of part b), is there an indication that one model produces more energy than the other? If yes, which one?

Site
1
2
3
4
5
7
8.
9.
10
11
12
Model A 144.2 113.7 129.1 126.9 129.3 108.7 104.4 125.4 121.2 130.9 111.4 123.1
Model B 106.6 111.8 110.3 101.3 108.5 112.2 101.9 111.5 107.2 107.7 108.9 105.8
Transcribed Image Text:Site 1 2 3 4 5 7 8. 9. 10 11 12 Model A 144.2 113.7 129.1 126.9 129.3 108.7 104.4 125.4 121.2 130.9 111.4 123.1 Model B 106.6 111.8 110.3 101.3 108.5 112.2 101.9 111.5 107.2 107.7 108.9 105.8
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