A new cyclindrical swimming pool is being built at the local rec center. It has a radius of 13 feet and a height of 6 feet. Tim determined that 1,014Pi ft3 of water would be needed to fill the pool, but jasmine calculated that 3,185.57 ft3 of water would be needed. Explain who calculated the volume properly.

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.