Jose has a project that requires him to find the sum of the multiples of three from 3 to 999. including those two numbers. If he uses the small number plus big number method, what is the sum of the multiples of three from 3 to 999? Note that he will also need to know how many numbers he has in order to use that method.

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.