A coffee manufacturer is interested in whether It mi moan daily consumption of r

Question

A coffee manufacturer is interested in whether It mi moan 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 1.29 cups per day and 1.44 cups per day for those drinking decaffeinated coffee. A random sample of 55 regular coffee drinkers showed a mean of 4.41 cups per day A sample of 47 decaffeinated coffee drinkers showed a mean of 5.16 cups per day. Use the 02 significance level. 1. This is a tailed test. 2. The decision rule is to H_0: mu_r greaterthanorequalto mu_d z

Explanation / Answer

Solution:

1) it is one tailed test

2) Z(0.05)= -1.645 round up -1.65

3) (4.41-5.16)/sqrt(1.29^2/55+1.44^2/47) = -2.750

4) REJECT

5) P-value = 0.003

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