# Question

As shown in Exercise 2.89, back-to-back stem-and-leaf displays can be used to compare the distribution of a variable for two different groups. Consider the following data, which give the alcohol

Content by volume (%) for different beers produced by the Flying Dog Brewery and the Sierra Nevada Brewery.

Flying Dog Brewery:

Sierra Nevada Brewery:

a. Create a back-to-back stem-and-leaf display of these data. Place the Flying Dog Brewery data to the left of the stems.

b. What would you consider to be a typical alcohol content of the beers made by each of the two breweries?

c. Does one brewery tend to have higher alcohol content in its beers than the other brewery? If so, which one? Explain how you reach this conclusion by using the stem-and-leaf display.

d. Do the alcohol content distributions for the two breweries appear to have the same levels of variability? Explain how you reach this conclusion by using the stem-and-leaf display.

Content by volume (%) for different beers produced by the Flying Dog Brewery and the Sierra Nevada Brewery.

Flying Dog Brewery:

Sierra Nevada Brewery:

a. Create a back-to-back stem-and-leaf display of these data. Place the Flying Dog Brewery data to the left of the stems.

b. What would you consider to be a typical alcohol content of the beers made by each of the two breweries?

c. Does one brewery tend to have higher alcohol content in its beers than the other brewery? If so, which one? Explain how you reach this conclusion by using the stem-and-leaf display.

d. Do the alcohol content distributions for the two breweries appear to have the same levels of variability? Explain how you reach this conclusion by using the stem-and-leaf display.

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