Alcohol Consumption. In the Global Status Report on Alcohol and Health 2014, the World Health Organization reports that in 2010, the worldwide consumption was 6.2 liters of pure alcohol per person (15 years or older), which amounts to 13.5 grams of pure alcohol a day. The countrywise total, recorded and unrecorded alcohol per capita consumption (APC), in 2010 (in liters of pure alcohol)

is given in the report. The following data is the APC for the African region (45 Countries). 0.1 0.2 0.6 0.7 1 1.1 2.1 2.3 3.4 3.6 3.6 3.9 4 4.3 4.4 4.8 5.6 5.7 6 6.8 7.5 8.4 8.7 10.8 11 10.9 10.1 9.8 9.8 9.3 8.4 7.7 7.1 6.9 6.6 6.5 4.7 4.2  3.8 2.5 2.3 1.8 1.1 0.3 The sample mean and sample standard deviation of the consumption are 5.08 liters and 3.26 liters, respectively. A histogram of the consumption is bell-shaped. Modeling your solutions after those in Example 3.17 on pages 141–142, solve the following problems.

a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?

b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.

c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.

d. Compare your answers in parts

(b) and (c).