Question

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).

In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the weight of discarded paper minus the weight of discarded plastic for a household. What are the null and alternative hypotheses for the hypothesis​ test?

Identify the test statistic:

Identify the P Value:

Since the​ P-value is (greater,less than) the significance​ level, (fail to reject, reject) the null hypothesis. There (is not, is) sufficient evidence to support the claim that there is a difference between the weights of discarded paper and discarded plastic.

Household;Paper;Plastic
1;6.44;8.40
2;6.33;3.86
3;15.09;9.11
4;6.38;8.82
5;7.72;3.86
6;6.67;6.09
7;9.41;3.36
8;9.45;3.02
9;6.05;2.73
10;8.82;11.89
11;7.57;5.92
12;6.96;7.60
13;17.65;11.26
14;16.08;14.36
15;20.12;18.35
16;11.36;10.25
17;6.98;2.65
18;16.39;9.70
19;11.08;12.47
20;2.80;5.92
21;13.05;12.31
22;6.16;5.88
23;13.31;19.70
24;14.33;6.43
25;12.43;8.57
26;9.55;9.20
27;9.83;6.26
28;8.72;9.20
29;5.86;3.91
30;13.61;8.95

Answer 1