The scoop shop sells many types of nuts. lily asks for this mix: 1/2 pound peanuts 1/6 pound hazelnuts 1/3 pound almonds 3/4 pound cashews 1/4 pound pecans what fraction of the mix does each nut represent what fraction of the mix does each type of nut represent? how to do?

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.