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 0.10 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).   a. Identify the test statistic. t equals ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value. ​P-value equals ​(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 0.10 to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).
 
a. Identify the test statistic.
t equals
​(Round to two decimal places as​ needed.)
 
b. Identify the​ P-value.
​P-value equals

​(Round to three decimal places as​ needed.)

| Household | Paper | Plastic |
|------------|-------|---------|
| 1          | 8.72  | 9.20    |
| 2          | 20.12 | 18.35   |
| 3          | 6.38  | 8.82    |
| 4          | 13.61 | 8.95    |
| 5          | 6.83  | 3.57    |
| 6          | 13.31 | 19.70   |
| 7          | 17.65 | 11.26   |
| 8          | 6.05  | 2.73    |
| 9          | 2.41  | 1.13    |
| 10         | 6.33  | 3.86    |
| 11         | 7.57  | 5.92    |
| 12         | 12.73 | 14.83   |
| 13         | 12.32 | 11.17   |
| 14         | 6.96  | 7.60    |
| 15         | 11.42 | 12.81   |
| 16         | 2.80  | 5.92    |
| 17         | 6.16  | 5.88    |
| 18         | 9.83  | 6.26    |
| 19         | 9.41  | 3.36    |
| 20         | 5.86  | 3.91    |
| 21         | 11.08 | 12.47   |
| 22         | 6.44  | 8.40    |
| 23         | 13.05 | 12.31   |
| 24         | 6.98  | 2.65    |
| 25         | 16.39 | 9.70    |
| 26         | 16.08 | 14.36   |
| 27         | 14.33 | 6.43    |
| 28         | 15.09 | 9.11    |
| 29         | 6.67  | 6.09    |
| 30         |
Transcribed Image Text:| Household | Paper | Plastic | |------------|-------|---------| | 1 | 8.72 | 9.20 | | 2 | 20.12 | 18.35 | | 3 | 6.38 | 8.82 | | 4 | 13.61 | 8.95 | | 5 | 6.83 | 3.57 | | 6 | 13.31 | 19.70 | | 7 | 17.65 | 11.26 | | 8 | 6.05 | 2.73 | | 9 | 2.41 | 1.13 | | 10 | 6.33 | 3.86 | | 11 | 7.57 | 5.92 | | 12 | 12.73 | 14.83 | | 13 | 12.32 | 11.17 | | 14 | 6.96 | 7.60 | | 15 | 11.42 | 12.81 | | 16 | 2.80 | 5.92 | | 17 | 6.16 | 5.88 | | 18 | 9.83 | 6.26 | | 19 | 9.41 | 3.36 | | 20 | 5.86 | 3.91 | | 21 | 11.08 | 12.47 | | 22 | 6.44 | 8.40 | | 23 | 13.05 | 12.31 | | 24 | 6.98 | 2.65 | | 25 | 16.39 | 9.70 | | 26 | 16.08 | 14.36 | | 27 | 14.33 | 6.43 | | 28 | 15.09 | 9.11 | | 29 | 6.67 | 6.09 | | 30 |
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