In this problem, assume that the distribution of differences is approximately th

Question

In this problem, assume that the distribution of differences is approximately this choice of d.f. may increase the Pivalue by a smal amount and therefore produce a sightly more i normal. Note: F or degrees of freedom d.f, not in the St udent's t ta-·use the eased dt that is raier. In ent t table, use the closest d.f, that is smaller. In some situations, The western United States has a number of four-lane interstate highways that cut through long tracts of wilderness. To prevent car with 12-foot-high woven wire fences. Although the fences prevent a frequent wilderness underpasses designed for exclusive use by deer, elk, highway and survive the winter months in a lower region random sample of 10 wilderness districts in the Danuary deer count for a S-year period after the highway was built. The highway department claims that the ness. To prevent car accidents with wild animals, the highways are bordered on both sides acclidents, they also disturb pattern of many animals. To compensate for this disturbance, the highways have and other animals. In Colorado, there is a large group of deer that spend their summer months in a region on one side of a the winter migration o determine if the highway hes disturbed deer migretion to the winter feeding area, the following data were gathered ona o winter feeding area. Row 8 represents the average January deer kow B regresents the average January deer count for a S-year period before the highway was built, and row A represents the average claims that the Jenuary population has not changed. Test this cleim against the claim that the January population has dropped. Use a 10% level of significance. Units used in the table are hundreds of deer. (Let d . B-A.) : Before 94 (a) What is the level of significance? 10 State the nul and alternate hypotheses wi you use a left-tailed, right-taled, or two-taled test (b) Whet sampling distribution will you use? What essumetions are you moking The standard normal. We assume that d has an approximately normal distribution The Student's E. We assume that d has an approximately normal distribution. 0 The Student's t. We assume that d has an approximately uniform distribution. The standard normal. We assume that d has an appreximately uniform distribution. What is the velue of the sample test statistic? (Round your answer to three decimal places.) (e) Find (or estimate) the P-value. (Round your answer to four decimal places) show the area corresponding to the P-value

Explanation / Answer

Taken data poins

performed paired t test.

t=3.2927

p=0.0047

Reject null hypothesis

Solution2:

t=1.324

p=0.1136

Fail to reject null hypothesis

Solutionc:

t=1.402

p=0.1813

B A 11.2 8.8 9.2 9.8 9.6 9.9 10.8 8.9 17.4 4 9.9 7.1 20.5 15.2 16.2 8.3 18.9 12.2 11.6 7.3

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