The album The Best of Radiohead, by Radiohead, has a list price of $ 11.22, and the album The King of Limbs, by Radiohead, has a list price of $5.22. If iTunes' total sales of both albums in one week is 282 albums and the total revenue of both albums in that week is $1802.4 , how many of each album were sold?

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.