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...




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




6.05




2.73






2




13.05




12.31






3




16.08




14.36






4




6.98




2.65






5




2.41




1.13






6




9.45




3.02






7




9.19




3.74






8




12.32




11.17






9




11.42




12.81






10




13.61




8.95






11




9.41




3.36






12




11.08




12.47






13




16.39




9.70






14




9.83




6.26






15




17.65




11.26






16




7.57




5.92






17




12.73




14.83






18




8.82




11.89






19




20.12




18.35






20




6.67




6.09






21




11.36




10.25






22




6.33




3.86






23




15.09




9.11






24




3.27




0.63






25




8.72




9.20






26




7.72




3.86






27




13.31




19.70






28




12.43




8.57






29




6.96




7.60






30




6.16




5.88






Household


Paper


Plastic



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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<>







C.



H0​:

μd≠0



H1​:

μd>0







D.



H0​:

μd≠0



H1​:

μd=0






Identify the test statistic.



t=nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.



​P-value=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 not

is




sufficient evidence to support the claim that there is a difference between the weights of discarded paper and discarded plastic.





Jun 07, 2022
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