The following transformation maps △abc to △a′b′c′.
(x, y)↦(x−4,y+1)
which answer correctly describes the transformation applied to △abc?
a. △abc is moved 1 unit right and 4 units down to create △a′b′c′.
b. △abc is moved 4 units right and 1 unit down to create △a′b′c′.
c. △abc is moved 4 units left and 1 unit up to create △a′b′c′.
d. △abc is moved 1 unit left and 4 units up to create △a′b′c′.

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.