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westerngirl103

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May 26, 2011
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Refer to the data set in the accompanying table. Assume that the paired data is a simple random sample and the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the difference between weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). Which seems to weigh more, discarded paper or plastic?

Data Table:
Household,Paper,Plastic
1. 13.31,4.69
2. 9.41,0.80
3. 6.16,1.40
4. 2.80,1.41
5. 6.38,2.10
6. 6.44,2.00
7. 7.57,1.41
8. 9.45,0.72
9. 6.98,0.63
10. 2.41,0.27
11. 16.39,2.31
12. 7.72,0.92
13. 13.05,2.93
14. 16.08,3.42
15. 8.82,2.83
16. 5.86,0.93
17. 3.27,0.15
18. 14.33,1.53
19. 9.19,0.89
20. 12.43,2.04
21. 6.83,0.85
22. 12.32,2.66
23. 6.96,1.81
24. 13.61,2.13
25. 6.33,0.92
26. 7.98,1.45
27. 17.65,2.68
28. 11.42,3.05
29. 11.36,2.44
30. 12.73,3.53

Answer: The 95% confidence interval is __ <ud<__
 
Have you considered calculating the differences?
 
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