Complete the following problems using the 6 step procedure for testing statistical hypotheses.

#24 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 is 1.2 cups per day for those drinking regular coffee and 1.36 cups per day for those drinking decaffeinated coffee. A random sample of 50 regular coffee drinkers showed a mean of 4.25 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups. State the null and alternative hypotheses and test at the .01 level of significance. Hint: your test should be one-tailed.