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 3.27 0.63 2 7.72 3.86 3 11.36 10.25 4 6.44 8.40 5 9.45 3.02 6 6.67 6.09 7 9.55 9.20 8 6.96 7.60 9 6.33 3.86 10 9.83 6.26 11 9.41 3.36 12 17.65 11.26 13 13.31 19.70 14 12.73 14.83 15 6.83 3.57 16 6.05 2.73 17 13.05 12.31 18 6.38 8.82 19 6.98 2.65 20 9.19 3.74 21 2.41 1.13 22 6.16 5.88 23 7.98 6.09 24 13.61 8.95 25 7.57 5.92 26 8.72 9.20 27 5.86 3.91 28 2.80 5.92 29 16.39 9.70 30 20.12 18.35 Household Paper Plastic
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 3.27 0.63 2 7.72 3.86 3 11.36 10.25 4 6.44 8.40 5 9.45 3.02 6 6.67 6.09 7 9.55 9.20 8 6.96 7.60 9 6.33 3.86 10 9.83 6.26 11 9.41 3.36 12 17.65 11.26 13 13.31 19.70 14 12.73 14.83 15 6.83 3.57 16 6.05 2.73 17 13.05 12.31 18 6.38 8.82 19 6.98 2.65 20 9.19 3.74 21 2.41 1.13 22 6.16 5.88 23 7.98 6.09 24 13.61 8.95 25 7.57 5.92 26 8.72 9.20 27 5.86 3.91 28 2.80 5.92 29 16.39 9.70 30 20.12 18.35 Household Paper Plastic
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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).
|
Household
|
Paper
|
Plastic
|
|
|||
|---|---|---|---|---|---|---|
|
1
|
3.27
|
0.63
|
|
|
|
|
|
2
|
7.72
|
3.86
|
|
|
|
|
|
3
|
11.36
|
10.25
|
|
|
|
|
|
4
|
6.44
|
8.40
|
|
|
|
|
|
5
|
9.45
|
3.02
|
|
|
|
|
|
6
|
6.67
|
6.09
|
|
|
|
|
|
7
|
9.55
|
9.20
|
|
|
|
|
|
8
|
6.96
|
7.60
|
|
|
|
|
|
9
|
6.33
|
3.86
|
|
|
|
|
|
10
|
9.83
|
6.26
|
|
|
|
|
|
11
|
9.41
|
3.36
|
|
|
|
|
|
12
|
17.65
|
11.26
|
|
|
|
|
|
13
|
13.31
|
19.70
|
|
|
|
|
|
14
|
12.73
|
14.83
|
|
|
|
|
|
15
|
6.83
|
3.57
|
|
|
|
|
|
16
|
6.05
|
2.73
|
|
|
|
|
|
17
|
13.05
|
12.31
|
|
|
|
|
|
18
|
6.38
|
8.82
|
|
|
|
|
|
19
|
6.98
|
2.65
|
|
|
|
|
|
20
|
9.19
|
3.74
|
|
|
|
|
|
21
|
2.41
|
1.13
|
|
|
|
|
|
22
|
6.16
|
5.88
|
|
|
|
|
|
23
|
7.98
|
6.09
|
|
|
|
|
|
24
|
13.61
|
8.95
|
|
|
|
|
|
25
|
7.57
|
5.92
|
|
|
|
|
|
26
|
8.72
|
9.20
|
|
|
|
|
|
27
|
5.86
|
3.91
|
|
|
|
|
|
28
|
2.80
|
5.92
|
|
|
|
|
|
29
|
16.39
|
9.70
|
|
|
|
|
|
30
|
20.12
|
18.35
|
|
|
|
|
|
Household
|
Paper
|
Plastic
|
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.
T=
Identify the P-Value.
P=
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