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).
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?
What is the t statistic.
What is the P Value
Household Paper
Plastic
1 6.44 8.40
2 9.41 3.36
3 6.67 6.09
4 6.05 2.73
5 11.08 12.47
6 8.72 9.20
7 9.19 3.74
8 6.98 2.65
9 6.16 5.88
10 17.65 11.26
11 6.33 3.86
12 7.98 6.09
13 11.36 10.25
14 9.83 6.26
15 12.73 14.83
16 2.41 1.13
17 13.05 12.31
18 12.43 8.57
19 8.82 11.89
20 5.86 3.91
21 6.38 8.82
22 7.57 5.92
23 2.80 5.92
24 3.27 0.63
25 13.31 19.70
26 6.83 3.57
27 9.45 3.02
28 15.09 9.11
29 13.61 8.95
30 16.08 14.36