Discuss on piazza but do not submit. Divide [-2,2] into (a) 10 subintervals (b) 1000 subintervals of the same length. Then use this division to find an aproximation of the length of the upper portion of the ellipse x^2+2 y^2 = 4. Share your spreadsheet, or any other code that allowed you to get an approximation.

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.