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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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Two measures of center are marked on the density curve shown. Which of the following is correct?
a. The median is at the yellow line and the mean is at the red line.
b. The median is at the red line and the mean is at the yellow line.
c. The mode is at the red line and the median is at the yellow line.
d. The mode is at the yellow line and the median is at the red line.
e. The mode is at the red line and the mean is at the yellow line.
Household incomes Refer to Exercise Here are summary statistics for the state median household incomes:
| n | Mean | SD | Min | Q1 | Med | Q3 | Max |
| 50 | 51742.44 | 8210.64 | 36641 | 46071 | 50009 | 57020 | 71836 |
a. Find and interpret the score for North Carolina, with a median household income of
b. New Jersey had a standardized score of Find New Jersey鈥檚 median household income for that year.
Post office A local post office weighs outgoing mail and finds that the weights of first-class letters are approximately Normally distributed with a mean of ounces and a standard deviation of ounces.
a. Estimate the 60th percentile of first-class letter weights.
b. First-class letters weighing more than ounce require extra postage. What proportion of first-class letters at this post office requires extra postage?
A different species of cockroach has weights that are approximately Normally distributed with a mean of grams. After measuring the weights of many of these cockroaches, a lab assistant reports that of the cockroaches weigh more than grams. Based on this report, what is the approximate standard deviation of weight for this species of cockroaches?
e. Cannot determine without more information.
Shoes How many pairs of shoes does a typical teenage boy own? To find out,
two AP庐 Statistics students surveyed a random sample of male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here is a dot-plot of the data: 
a. Find the percentile for Jackson, who reported owning pairs of shoes.
b. Raul鈥檚 reported number of pairs of shoes is at the percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?
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