A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers ...

     A coffee   manufacturer is interested in whether the mean daily consumption of   regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.   Assume the population standard deviation for those drinking regular coffee is   1.20 cups per day and 1.36 cups per day for those drinking decaffeinated   coffee. A random sample of 50 regular-coffee drinkers showed a mean of 4.35   cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of   5.84 cups per day. Use the .01 significance level. (1) What is the decision   rule? (Negative amount should be indicated by a minus sign. Round your answer   to 2 decimal places.) (2) The test statistic is Z = _______ (Negative amount   should be indicated by a minus sign. Round your answer to 2 decimal places.)   (3) What is the p-value? (Round your answer to 3 decimal places.)