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 1.33 cups per day and 1.45 cups per day for those drinking decaffeinated coffee. A random sample of 53 regular-coffee drinkers showed a mean of 4.45 cups per day. A sample of 44 decaffeinated-coffee drinkers showed a mean of 4.95 cups per day.

Use the 0.01 significance level.

1. State the decision rule.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
2. Compute the value of the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
3. What is thep-value?