Here are data for per capita beer consumption in liters per

Question

Here are data for per capita beer consumption (in liters per person per year) in 18 countries during 2002.¹⁸

a. Display the data with a histogram, using rectangles with intervals of width 20 liters.

b. Explain why the sh

ape of the data suggests that the 68-95-99.7 Rule should work reasonably well.

c. The mean per capita consumption is approximately 80, and the standard deviation is approximately 30. What are the endpoints of the interval that extends within 1 standard deviation of the mean?

d. The 68-95-99.7 Rule estimates about 68% of values should fall in the interval you reported in part (c); what percentage of those 18 values actually fall within the interval?

e. What are the endpoints of the interval that extends within 2 standard deviations of the mean?

f. What percentage of those 18 values actually fall within the interval you reported in part (e)?

g. What are the endpoints of the interval that extends within 3 standard deviations of the mean?

h. What percentage of those 18 values actually fall within the interval you reported in part (g)?

i. Find the z-score for Ireland and report how many standard deviations below or above the mean its value is.

j. Which country has a z-score of 0.3?

k. Countries with consumption values even less than Italy's were not included. Would their z-scores be positive or negative?