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).

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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

100%

Household	Paper	Plastic
1	11.08	12.47
2	9.41	3.36
3	13.61	8.95
4	8.82	11.89
5	2.8	5.92
6	7.57	5.92
7	7.98	6.09
8	13.31	19.7
9	11.42	12.81
10	12.73	14.83
11	16.39	9.7
12	6.33	3.86
13	8.72	9.2
14	14.33	6.43
15	3.27	0.63
16	9.55	9.2
17	12.43	8.57
18	20.12	18.35
19	6.16	5.88
20	6.38	8.82
21	6.98	2.65
22	12.32	11.17
23	17.65	11.26
24	15.09	9.11
25	9.19	3.74
26	13.05	12.31
27	9.83	6.26
28	6.44	8.4
29	11.36	10.25
30	16.08	14.36

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.