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 3.00 cups per day and 3.16 cups per day for those drinking decaffeinated coffee. A random sample of 68 regular-coffee drinkers showed a mean of 4.44 cups per day. A sample of 58 decaffeinated-coffee drinkers showed a mean of 5.93 cups per day. Use the 0.010 significance level. a. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) b. Compute the p-value. (Round your answer to 4 decimal places.)
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 3.00 cups per day and 3.16 cups per day for those drinking decaffeinated coffee. A random sample of 68 regular-coffee drinkers showed a mean of 4.44 cups per day. A sample of 58 decaffeinated-coffee drinkers showed a mean of 5.93 cups per day. Use the 0.010 significance level.
a. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
b. Compute the p-value. (Round your answer to 4 decimal places.)
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