statistics and probability .

8. [-/1.5 Points] DETAILS BBUNDERSTAT12 8.4.010.5. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 9. [-/1.5 Points] DETAILS BBUNDERSTAT12 8.4.013.MI.S. In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER I table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's table, use the closest dif. that is smaller. In some situations, this choice of dif. may increase the P-value by a small amount Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie and therefore produce a slightly more "conservative" answer. stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish in environmental studies, sex ratios are of great importance. Wolf society, packs, and ecology have been studied extensively at different caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from locations in the U.S. and foreign countries. Sex ratios for eight study sites in northern Europe are shown below. October through April. March Location of Wall Pack $ Males [Winter) | Males (Summer) 1 14 Finland 76 57 LOL USE SALT Finland 59 64 Finland 71 53 Use a 1%% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d - 5 - Lapland 56 48 (a) What is the level of significance? Lapland 64 55 Foussia 50 50 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? OHMy=Q H, My * 0; two-tailed Russia 41 50 OH,My =OH, Ly - Of two-tailed 45 OHokey = 0, Hy Phy * 0; left-tailed LA USE SALT OHMy -Q H, My > right-tailed (b) What sampling distribution will you use? What assumptions are you making? It is hypothesized that in winter, "loner" males (not present in summer packs) join the pack to increase survival rate. Use a 5% level of significance to test the claim that the average percentage of males in a wolf pack is higher in winter. (Let a - winter - summer.) OThe Student's t. We assume that d has an approximately uniform distribution. [a) What is the level of signincance? The Student's 1. We assume that of lately normal distribution. The star mately uniform distribution. The stands proximately normal distribution State the null and altermate hypotheses. Wil you use a left-tailed, right-tailed, or two-tailed test? OH My = 0, H: Ffa * 0; right-tailed What is the value of the sample test statistic? (Round your answer to three decimal places.) O Holy > 0; H,: urg = 0; right-tailed OH My = 0, H,: ffy * 0; left-tailed c) Find (or estimate) the P-value. OH My - OH, Ly : 0: two-tailed OPvalue > 0.500 O 0.250 0.250 O Q 125