j) Compute the t-statistics of ys and construct 95% confidence interval for as. (hint: assume d.f =100) [3 points] k) Compute the adjusted R. [2 points] 1) Compute the p-value and test the null hypothesis that there is no difference in GDP per capita between Asia and non-Asian regions at 95%. (hint: assume d.f = 100) [3 points] SECTION & OUTBREAK INVESTIGATION (116) Read the following scenario about a real CDC investigation of a Salmonella outbreak in the United Stales and answer the questions below. On August 27, 2021, Fratelli Beretta issued a recall of one of their uncured antipasto products On August 31, 2021, the Canters for Dronate Control and Prevention (CDC) posted a food safety alert about a Salmonella outbreak inked to italian-style meats. There were 36 lab-positive Salmonella messes and 12 hospitalizations reported across 17 states compared to histone surveillance statistics from these states, this was considered more than normal. From May 9 to July 27, 2021, of the 36 persons who became ill with with Salmonella. 22 reported consuming the uncured antipasto products. Of 464 people who did not become il athin thes hypothetical community, 10 reported consuming uncured antipasto products. The CDC advised against eating any Fratnili Beretta brand uncured antipasto Inlays with best before dates on of before February 11, 2022 (2)A candy company distributes boxes of chocolates with a mixture of creams and toffees. Suppose that the weight of each box is 1 kilogram, but the individual weights of the creams and toffees vary from box to box. For a randomly selected box, let X and Y represent the weights of the creams and the toffees, respectively, and suppose that the joint density function of these variables is shown below. f(x, y ) = (1/6)(5x+7y), 0 <= x <= 1, 0 < = y < = 1 Find the probability that in a given box the toffees account for less than 1/3 of the weight.