Question

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 5.15 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day.

a. At the .01 significance level, **can we conclude
that** the mean daily consumption of regular-coffee drinkers
is less than that of decaffeinated-coffee drinkers?

b. Compute the *p*-value.

Answer #1

a)

as test statistic falls in rejection region ; we reject null hypothesis ; we have suffiicent evidence to conclude that mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers

b)

p value =0.0059

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