A coffee manufacturer is interested in the mean daily consumption of regular-cof

Question

A coffee manufacturer is interested in the mean daily consumption of regular-coffee drinkers and decaffeinated-coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 3.84 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 3.35 cups per day. The sample standard deviation for those drinking regular coffee is 1.20 cups per day and 1.36 cups per day for those drinking decaffeinated coffee. Assume the population standard deviations are equal. At the 5% significance level, is the mean daily consumption of regular-coffee drinkers greater than that of decaffeinated-coffee? Select the appropriate alternative hypothesis.

Explanation / Answer

Given:

The mean daily consumption of regular coffee drinkers greater than that of de caffeinated coffee

The alternative hypothesis is

muregular > mu deca f

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