You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. your friend walks 200 yards due west from your position and takes a bearing on the cabin of n 30.7°e. how far are you from the cabin?

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.