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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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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