Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). Household Paper Plastic 1 9.19 3.74 2 7.57 5.92 3 8.72 9.20 4 20.12 18.35 5 6.83 3.57 6 15.09 9.11 7 6.33 3.86 8 13.31 19.70 9 6.98 2.65 10 6.96 7.60 11 13.61 8.95 12 2.41 1.13 13 6.16 5.88 14 9.45 3.02 15 13.05 12.31 16 2.80 5.92 17 16.39 9.70 18 16.08 14.36 19 11.42 12.81 20 17.65 11.26 21 6.67 6.09 22 7.98 6.09 23 9.55 9.20 24 9.83 6.26 25 12.43 8.57 26 11.36 10.25 27 8.82 11.89 28 5.86 3.91 29 9.41 3.36 30 6.38 8.82 identify the test statistic (round to two decimal places as needed) identify the p value (round to three decimal places as needed)
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.05 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds).
Household Paper Plastic
1 9.19 3.74
2 7.57 5.92
3 8.72 9.20
4 20.12 18.35
5 6.83 3.57
6 15.09 9.11
7 6.33 3.86
8 13.31 19.70
9 6.98 2.65
10 6.96 7.60
11 13.61 8.95
12 2.41 1.13
13 6.16 5.88
14 9.45 3.02
15 13.05 12.31
16 2.80 5.92
17 16.39 9.70
18 16.08 14.36
19 11.42 12.81
20 17.65 11.26
21 6.67 6.09
22 7.98 6.09
23 9.55 9.20
24 9.83 6.26
25 12.43 8.57
26 11.36 10.25
27 8.82 11.89
28 5.86 3.91
29 9.41 3.36
30 6.38 8.82
identify the test statistic (round to two decimal places as needed)
identify the p value (round to three decimal places as needed)
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