Please help I only have today to do this type of work and I'm struggling!! Alice, Raul, and Maria are baking cookies together. They need cup of flour and cup of butter to make a dozen cookies. They each brought the ingredients they had at home. Alice brought cups of flour and cup of butter, Raul brought cup of flour and cup of butter, and Maria brought cups of flour and cup of butter. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of a dozen cookies can they make?

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.