Rick serves his community as a firefighter. He works for a full 24 hours and then is off for the next 48 hours before his next 24-hour shift. Last month, he earned $4,665.60, before taxes, and worked twelve 24-hour shifts. How much money does Rick make per hour?

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.