A triangular pyramid and a triangular prism have congruent bases and the same height. The triangular pyramid has a volume of 70 m3. Find the volume of the triangular prism. How much greater is the volume of the prism than the volume of the pyramid?

The volume of the triangular prism is m3. The volume of the prism is m3 greater than the volume of the pyramid.

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.