A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 8 cubic feet and the volume of each large box is 16 cubic feet. A total of 15 boxes of paper were shipped with a combined volume of 160 cubic feet. Graphically solve a system of equations in order to determine the number of small boxes shipped, x , x, and the number of large boxes shipped, y y

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.