The surface of the ground at Drake’s well is 1,200 ft above sea level. To reach oil, Drake first drilled through gravel to a point 1,168 ft above sea level. He then drilled an additional 38 ft through shale. What was the total depth of the well?

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.