D SPS ProgramsOnline Locker: Virtu.E Untitled documentG kji - Google SearchSpanishIn this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the dosest df. that is smaller. In some stuations, this cholce of d.f. may Increase the P-value by a smal amount and therefore produce aslightly more "conservative answer.The western United States has a number of four-lane Interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Athough the fences prevent accidents, they alsodisturb the winter migration pattern of many anlmals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a reglonon one side of a highway and survive the winter months in a lower regton on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row 8represents the average January deer count for a 5-year perlod before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was butlt. The highway department daims that the January population has not changed. Test this daimagainst the dalm that the 3anuary population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d=B- A.)34 S5.6 17.4A: After highway 9.1 B.4 10.0 4.3 4.0 7.1 15.2 B.3 12.27720.5 16.2 18.9 11.69 10wilderness District 1 2B: Before highway 10.3 7.4 12.99.97.3(a) what is the level of signiicance?State the null and alternate hypotheses. will you use a left-taled, right-tailed, or two-talled test?OHo H-0; H 0; right-taledO Ho H 0; H H- 0; nght-taled(b) what sampling distribution will you use? What assumptions are you making?O The Student's t. We assume that d has an approximately untform distribution.O The standard normal. We assume that d has an approximately normal distribution.O The Student's t. We assume that d has an approxtmately normal distribution.O The standard normal. we assume that d has an approxdmately uniform distribution.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.)O Pvalue 0.250O 0.125 esc&backspac@232$78.9.4.5

Question

D SPS ProgramsOnline Locker: Virtu.E Untitled documentG kji - Google SearchSpanishIn this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the dosest df. that is smaller. In some stuations, this cholce of d.f. may Increase the P-value by a smal amount and therefore produce aslightly more &#34;conservative answer.The western United States has a number of four-lane Interstate highways that cut through long tracts of wilderness. To prevent car accidents with wild animals, the highways are bordered on both sides with 12-foot-high woven wire fences. Athough the fences prevent accidents, they alsodisturb the winter migration pattern of many anlmals. To compensate for this disturbance, the highways have frequent wilderness underpasses designed for exclusive use by deer, elk, and other animals. In Colorado, there is a large group of deer that spend their summer months in a reglonon one side of a highway and survive the winter months in a lower regton on the other side. To determine if the highway has disturbed deer migration to the winter feeding area, the following data were gathered on a random sample of 10 wilderness districts in the winter feeding area. Row 8represents the average January deer count for a 5-year perlod before the highway was built, and row A represents the average January deer count for a 5-year period after the highway was butlt. The highway department daims that the January population has not changed. Test this daimagainst the dalm that the 3anuary population has dropped. Use a 5% level of significance. Units used in the table are hundreds of deer. (Let d=B- A.)34 S5.6 17.4A: After highway 9.1 B.4 10.0 4.3 4.0 7.1 15.2 B.3 12.27720.5 16.2 18.9 11.69 10wilderness District 1 2B: Before highway 10.3 7.4 12.99.97.3(a) what is the level of signiicance?State the null and alternate hypotheses. will you use a left-taled, right-tailed, or two-talled test?OHo H-0; H <0; left-tarledO Ho H-0, H 0; two-taledO Ho H-0; H > 0; right-taledO Ho H> 0; H H- 0; nght-taled(b) what sampling distribution will you use? What assumptions are you making?O The Student's t. We assume that d has an approximately untform distribution.O The standard normal. We assume that d has an approximately normal distribution.O The Student's t. We assume that d has an approxtmately normal distribution.O The standard normal. we assume that d has an approxdmately uniform distribution.What is the value of the sample test statistic? (Round your answer to three decimal places.)(c) Find (or estimate) the Pvalue. (Round your answer to four decimal places.)O Pvalue> 0.250O 0.125 esc&backspac@232$78.9.4.5

Accepted Answer

(a) Level of significance = 0.05
 H0 : μd = 0 ; H1 : μd < 0 
(b) The student's t. We assume that…