Mathieu is finding the x-intercepts of the function f(x) = x2 + 4x + 3. his work is shown below. 0 = x2 + 4x + 3 0 = (x + 3)(x + 1) x + 3 = x + 1 x = x – 2 0 = –2 there are no x-intercepts. which error did mathieu make? he factored incorrectly. he did not use the constant as the x-intercept. he set the factored expressions equal to each other. he incorrectly solved the equation x + 3 = x + 1.

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.