2. Company X sells a consignment, the buyer proposes to pay as follows: Immediately pay 300 million dong, the remaining balance will be paid in 5 years, 20% of the value of the shipment each year. What is the value of the shipment if paying immediately? Know that the bank interest rate is 12%/year.

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.