The imaginary monster dracula is 574 years old, according to legend. since that very first birthday long ago, when he happily blew out 1 candle on a cake decorated with drippy red frosting, how many birthday candles has he blown out in his whole horrifying life? assume that drac has always blown out exactly n candles on his nth birthday.

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.