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 1.31 cups per day and 1.42 cups per day for those drinking decaffeinated coffee. A random sample of 52 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 48 decaffeinated-coffee drinkers showed a mean of 5.69 cups per day.

Use the 0.05 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 the p-value?