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 2.50 cups per day for those drinking regular coffee and 2.66 cups per day for those drinking decaffeinated coffee. A random sample of 63 regular-coffee drinkers showed a mean of 4.41 cups per day. A sample of 53 decaffeinated-coffee drinkers showed a mean of 5.90 cups per day. Use the 0.010 significance level.

a. State the null and alternate hypotheses.

multiple choice 1
H0: μRegular ≥ μDecaf; H1: μRegular < μDecaf
H0: μRegular < μDecaf; H1: μRegular < μDecaf
H0: μRegular < μDecaf; H1: μRegular ≥ μDecaf


b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)



c. Compute the p-value.



d. What is your decision regarding the null hypothesis?

multiple choice 2
Reject H0
Do not reject H0


e. Interpret the result.