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 13.61 8.95
2 6.98 2.65
3 6.38 8.82
4 6.67 6.09
5 7.57 5.92
6 8.82 11.89
7 3.27 0.63
8 6.83 3.57
9 12.32 11.17
10 15.09 9.11
11 6.33 3.86
12 6.44 8.40
13 12.73 14.83
14 13.31 19.70
15 6.05 2.73
16 9.45 3.02
17 7.98 6.09
18 5.86 3.91
19 12.43 8.57
20 14.33 6.43
21 11.08 12.47
22 11.36 10.25
23 9.41 3.36
24 9.55 9.20
25 6.16 5.88
26 11.42 12.81
27 2.80 5.92
28 6.96 7.60
29 8.72 9.20
30 16.39 9.70
Identify the test statistic.
tequals=nothing
(Round to two decimal places as needed.)
Identify the P-value.
P-valueequals=nothing
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
▼
greater
less
than the significance level,
▼
reject
fail to 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.
The statistical software output for this problem is:
Paired T hypothesis test:
μD = μ1 - μ2 : Mean of the
difference between Paper and Plastic
H0 : μD = 0
HA : μD ≠ 0
Hypothesis test results:
Difference | Mean | Std. Err. | DF | T-Stat | P-value |
---|---|---|---|---|---|
Paper - Plastic | 1.4523333 | 0.62474835 | 29 | 2.3246693 | 0.0273 |
Hence,
Test statistic = 2.32
P-value = 0.027
Less than; Reject; is
Refer to the data set in the accompanying table. Assume that the paired sample data is...
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 12.73 14.83 2 13.61 8.95 3 6.96 7.60 4 17.65 11.26 5 11.08 12.47 6 9.83 6.26 7 12.32 11.17...
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). Household Paper Plastic 1 6.16 5.88 2 16.39 9.70 3 6.33 3.86 4 11.36 10.25 5 12.43 8.57 6 7.98 6.09 7 11.42 12.81...
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). Household Paper Plastic 1 9.41 3.36 2 15.09 9.11 3 6.83 3.57 4 7.98 6.09 5 17.65 11.26 6 7.57 5.92 7 13.31 19.7...
Household Paper Plastic 1 9.45 3.02 2 6.33 3.86 3 8.72 9.20 4 13.05 12.31 5 12.43 8.57 6 20.12 18.35 7 11.36 10.25 8 5.86 3.91 9 16.08 14.36 10 6.44 8.40 11 11.42 12.81 12 9.55 9.20 13 6.16 5.88 14 2.41 1.13 15 16.39 9.70 16 6.67 6.09 17 6.05 2.73 18 15.09 9.11 19 12.73 14.83 20 9.19 3.74 21 13.31 19.70 22 6.96 7.60 23 7.72 3.86 24 6.98 2.65 25 2.80 5.92 26 17.65 ...
that's all the data i have. 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) E Click the icon to view the data. In this example, He is the mean value of the...
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