11. Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females.

To further investigate this phenomenon, suppose a researcher selects a random sample of n 36 male undergraduates and a sample of n 25 females. On average, the males reported consuming M 2.45 drinks per month and females had an average of M 1.28. Assume that the overall level of consumption for college undergraduates averages 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of  1.2.

a. Did this sample of males consume significantly more energy drinks than the overall population average? Use a one-tailed test with  = .01.

b. Did this sample of females consume significantly fewer energy drinks than the overall population average? Use a one-tailed test with  = .01