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

0.100.10

to test for a difference between the weights of discarded paper​ (in pounds) and weights of discarded plastic​ (in pounds).

Household   Paper   Plastic
1   6.05   2.73
2   5.86   3.91
3   6.98   2.65
4   16.39   9.70
5   12.73   14.83
6   7.98   6.09
7   15.09   9.11
8   8.82   11.89
9   9.45   3.02
10   11.08   12.47
11   11.42   12.81
12   6.16   5.88
13   13.61   8.95
14   6.96   7.60
15   9.19   3.74
16   20.12   18.35
17   16.08   14.36
18   2.80   5.92
19   6.83   3.57
20   12.32   11.17
21   9.83   6.26
22   6.67   6.09
23   7.72   3.86
24   12.43   8.57
25   9.41   3.36
26   2.41   1.13
27   11.36   10.25
28   6.44   8.40
29   7.57   5.92
30   9.55   9.20

In this​ example,

mu Subscript dμd

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.

Upper H 0H0​:

mu Subscript dμdnot equals≠0

Upper H 1H1​:

mu Subscript dμdequals=0

B.

Upper H 0H0​:

mu Subscript dμdequals=0

Upper H 1H1​:

mu Subscript dμdless than<0

C.

Upper H 0H0​:

mu Subscript dμdequals=0

Upper H 1H1​:

mu Subscript dμdnot equals≠0

D.

Upper H 0H0​:

mu Subscript dμdnot equals≠0

Upper H 1H1​:

mu Subscript dμdgreater than>0

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

▼

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

Answer 1