PERFOMANCE TASK: Solve the word problem below. You may draw the figure to solve the problem The legs of a right triangle are congruent, and the hypotenuse is 5v2 units long. Find the length of each leg. (Use the Pythagorean Theorem, c2 al + b2D

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.