Jason and jenny are out on a lunch date. jason gives jenny a bouquet that has 4 roses, 3 carnations, and 4 orchids. they decide that jenny gets to choose their lunch order if the flower she randomly picks from the bouquet is a carnation or a rose. what is the probability that jenny gets to choose lunch?

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.