Angel and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.25 each. angel has $15 to spend and must buy no less than 12 peaches and mangos altogether. if angel decided to buy 6 mangos, determine all possible values for the number of peaches that he could buy. your answer should be a comma separated list of values. if there are no possible solutions, submit an empty answer.

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.