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Chapter 1: Q. 73. (page 52)

Paying for championships Does paying high salaries lead to more victories in professional sports? The New York Yankees have long been known for having Major League Baseball’s highest team payroll. And over the years, the team has won many championships. This strategy didn’t pay off in 2008, when the Philadelphia Phillies won the World Series. Maybe the Yankees didn’t spend enough money that year. The figure shows histograms of the salary distributions for the two teams during the 2008 season. Why can’t you use these graphs to effectively compare the team payrolls?

Short Answer

Expert verified

The scales on the horizontal axis in the two histograms are very different.

Step by step solution

01

Given information. 

salary distribution histograms for the two teams during the 2008 season

02

 Use these graphs to compare team payrolls effectively.

The scales on the horizontal axis in the two histograms are very different, making it difficult to compare the two distributions effectively.

To effectively compare team payrolls, the scales on both axes must be identical on both graphs.

As a results:

The scales on the horizontal axis in the two histograms are very different.

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Most popular questions from this chapter

Women and children first? Here’s another table that summarizes data on survival status by gender and class of travel on the Titanic:

(a) Find the distributions of survival status for males and for females within each class of travel. Did women survive the disaster at higher rates than men? Explain.

(b) In an earlier example, we noted that survival status is associated with class of travel. First-class passengers had the highest survival rate, while third-class passengers had the lowest survival rate. Does this same relationship hold for both males and females in all three classes of travel? Explain.

When comparing two distributions, it would be best to use relative frequency histograms rather than frequency histograms when

a. the distributions have different shapes.

b. the distributions have different amounts of variability.

c. the distributions have different centers.

d. the distributions have different numbers of observations.

e. at least one of the distributions has outliers

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Part (a). What percent of the people in this study were elite soccer players? What percent of the people in this study developed arthritis?

Part (b). What percent of the elite soccer players developed arthritis? What percent of those who got arthritis were elite soccer players?

Part (c). Researchers suspected that the more serious soccer players were more likely to develop arthritis later in life. Do the data confirm this suspicion? Calculate appropriate percentages to support your answer.

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(a) Find the median of Joey’s first 14 quiz grades.

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