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 0.01 significance level.

a.State the null and alternate hypotheses. (choose one)

A) H₀:_RegularDecafH₁:_Regular<_Decaf

_B) H₀:_Regular<_DecafH₁:_Regular<_Decaf

C) H₀:_Regular<_DecafH₁:_RegularDecaf

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

c.Select thep-value. NOTE: P-value calculators are available through online search. (Choose one)

A) Greater than 0.00001

B) Less than 0.00001

C) Greater than 0.00002

D) Less than 0.00002

d.What is your decision regarding the null hypothesis? (Choose one)

A) Reject theH₀

_B) Do not reject theH₀

e.Interpret the result.

Choose the right word for this statement:

The mean number of cups for regular coffee drinkers is (less than, greater than) decaffeinated coffee drinkers.