Tharun subscribes to a monthly DVD rental service. The service costs $10 per month and the first three
DVD rentals are free, while every DVD rental after
the first three of the month costs $2 each. Which of
the following expressions models the total amount that
Tharun pays, in dollars, in a month when he rents d
DVDs where d> 3 ?
A. 10 + 2d
B. 10 + 3d
C. 10 + 2(d - 3)
D. 10+ 3(d -2)

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.