You win a prize and are offered two choices. Which of the choices could be represented by a linear equation?

Choice A: $100 on January 1, $200 on February 1, $400 on March 1, $800 on April 1, and so on, with the amount doubling each month.

Choice B: $50 the first month, $100 the second month, $150 the third month, and so on, with $50 added each month.

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.