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Chapter 2: Q 54. (page 140)
Batter up! Refer to Exercise A player with a batting average below is at risk of sitting on the bench during important games. About what percent of players are at risk?
Around 3.67% of the players have the risk of sitting on the bench during important games.
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Runners’ heart rates The following figure is a Normal probability plot of the heart rates of male runners after minutes of exercise on a treadmill. Use the graph to determine if this distribution of heart rates is approximately Normal.
Class is over! Mr. Shrager does not always let his statistics class out on time. In fact, he seems to end class according to his own “internal clock.” The density curve models the distribution of the amount of time after class ends (in minutes) when Mr. Shrager dismisses the class. (A negative value indicates he ended class early.)
a. What height must the density curve have? Justify your answer.
b. About what proportion of the time does Mr. Shrager dismiss class within 1 minute of its scheduled end time?
c. Calculate and interpret the percentile of the distribution.
Batter up! In baseball, a player’s batting average is the proportion of times the player gets a hit out of his total number of times at-bat. The distribution of batting averages in a recent season for Major League Baseball players with at least 100 plate appearances can be modeled by a Normal distribution with mean and standard deviation Sketch the Normal density curve. Label the mean and the points that are and standard deviations from the mean.
Run fast! As part of a student project, high school students were asked to
sprint yards and their times (in seconds) were recorded. A cumulative relative frequency graph of the sprint times is shown here. 
a. One student ran the yards in seconds. Is a sprint time of seconds unusually slow?
b. Estimate and interpret the percentile of the distribution.
The following Normal probability plot shows the distribution of points scored for the players in a single NBA season.
If the distribution of points was displayed in a histogram, what would be the best
description of the histogram’s shape?
a. Approximately Normal
b. Symmetric but not approximately Normal
c. Skewed left
d. Skewed right
e. Cannot be determined
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