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

Household Paper Plastic 1 9.83 6.26 2 8.72 9.20 3 6.16 5.88 4 14.33 6.43 5 13.61 8.95 6 9.41 3.36 7 15.09 9.11 8 9.55 9.20 9 12.43 8.57 10 9.19 3.74 11 6.83 3.57 12 2.80 5.92 13 6.44 8.40 14 5.86 3.91 15 7.57 5.92 16 6.38 8.82 17 17.65 11.26 18 6.67 6.09 19 11.36 10.25 20 2.41 1.13 21 8.82 11.89 22 20.12 18.35 23 11.08 12.47 24 3.27 0.63 25 7.72 3.86 26 6.33 3.86 27 11.42 12.81 28 16.39 9.70 29 16.08 14.36 30 6.98 2.65

In this? example,

mu Subscript d?d

In this example ?_dis 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?

H0?:

mu Subscript d?dequals=0

Upper H 1H1?:

mu Subscript d?dnot equals?0

mu Subscript d

?d

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= ____ (Round to two decimal places as? needed.)

Identify the P-value

P-value = ____ ?(Round to three decimal places as? needed.)

Upper H 0

Answer 1