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 0.01 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?
A. H0: μd≠0
H1: μd=0
B. H0: μd≠0
H1: μd>0
C. H0: μd=0
H1: μd<0
D. H0: μd=0
H1: μd≠0
Part 2
Identify the test statistic.
t=
(Round to two decimal places as needed.)
Part 3
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
Part 4
What is the conclusion based on the hypothesis test?
Since the P-value is [ less ; greater ] than
the significance level, [ reject; fail to reject
] the null hypothesis. There [ is ; is not
] sufficient evidence to support the claim that there is a
difference between the weights of discarded paper and discarded
plastic.
1
13.61
8.95
2
15.09
9.11
3
11.42
12.81
4
6.16
5.88
5
17.65
11.26
6
8.72
9.20
7
6.05
2.73
8
13.05
12.31
9
7.57
5.92
10
5.86
3.91
11
6.83
3.57
12
8.82
11.89
13
12.73
14.83
14
9.41
3.36
15
7.98
6.09
16
7.72
3.86
17
9.83
6.26
18
6.44
8.40
19
2.41
1.13
20
13.31
19.70
21
20.12
18.35
22
9.45
3.02
23
6.33
3.86
24
12.43
8.57
25
6.67
6.09
26
9.19
3.74
27
3.27
0.63
28
6.96
7.60
29
16.39
9.70
30
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the di
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answerhappygod
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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 di
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