In this problem, assume that the distribution of differences isapproximately normal. Note: For degrees of freedom d.f. not in theStudent's t table, use the closest d.f. that is smaller. In somesituations, this choice of d.f. may increase the P-value by a smallamount and therefore produce a slightly more "conservative" answer.Is fishing better from a boat or from the shore? Pyramid Lake islocated on the Paiute Indian Reservation in Nevada. Presidents,movie stars, and people who just want to catch fish go to PyramidLake for really large cutthroat trout. Let row B represent hoursper fish caught fishing from the shore, and let row A representhours per fish caught using a boat. The following data are pairedby month from October through April. Oct Nov Dec Jan Feb MarchApril B: Shore 1.6 1.8 2.0 3.2 3.9 3.6 3.3 A: Boat 1.5 1.4 1.5 2.23.3 3.0 3.8 Use a 1% level of significance to test if there is adifference in the population mean hours per fish caught using aboat compared with fishing from the shore. (Let d = B ? A.) (a)What is the level of significance? State the null and alternatehypotheses. Will you use a left-tailed, right-tailed, or two-tailedtest? H0: ?d ? 0; H1: ?d = 0; two-tailed H0: ?d = 0; H1: ?d ? 0;two-tailed H0: ?d = 0; H1: ?d > 0; right-tailed H0: ?d = 0; H1:?d < 0; left-tailed (b) What sampling distribution will you use?What assumptions are you making? The Student's t. We assume that dhas an approximately uniform distribution. The Student's t. Weassume that d has an approximately normal distribution. Thestandard normal. We assume that d has an approximately normaldistribution. The standard normal. We assume that d has anapproximately uniform distribution. What is the value of the sampletest statistic? (Round your answer to three decimal places.) (c)Find (or estimate) the P-value. P-value > 0.500 0.250