Chapter 2: Q T2.2. (page 148)
For the Normal distribution shown, the standard deviation is closest to

Short Answer
The correct option is (d)
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 2: Q T2.2. (page 148)
For the Normal distribution shown, the standard deviation is closest to

The correct option is (d)
All the tools & learning materials you need for study success - in one app.
Get started for free
Long jump A member of a track team was practicing the long jump and
recorded the distances (in centimeters) shown in the dot plot. Some numerical summaries of the data are also provided.

After chatting with a teammate, the jumper realized that he measured his jumps from the back of the board instead of the front. Thus, he had to subtract centimeters from each of his jumps to get the correct measurement for each jump.
a. What shape would the distribution of corrected long jump distance have?
b. Find the mean and median of the distribution of corrected long-jump distance.
c. Find the standard deviation and interquartile range (IQR) of the distribution of corrected long-jump distance.
Put a lid on it! Refer to Exercise . The supplier is considering two changes to reduce the percent of its large-cup lids that are too small to less than . One strategy is to adjust the mean diameter of its lids. Another option is to alter the production process, thereby decreasing the standard deviation of the lid diameters.
(a) If the standard deviation remains at inches, at what value should the supplier set the mean diameter of its large-cup lids to ensure that less than are too small to fit? Show your method.
(b) If the mean diameter stays at inches, what value of the standard deviation will result in less than of lids that are too small to fit? Show your method.
(c) Which of the two options in (a) and (b) do you think is preferable? Justify your answer. (Be sure to consider the effect of these changes on the percent of lids that are too large to fit.)
George’s average bowling score is; he bowls in a league where the average for all bowlers is and the standard deviation is Bill’s average bowling score is ; he bowls in a league where the average is and the standard deviation is 15. Who ranks higher in his own league, George or Bill?
a. Bill, because his is higher than George’s
b. Bill, because his standardized score is higher than George’s.
c. Bill and George have the same rank in their leagues because both are pins above the mean.
d. George, because his standardized score is higher than Bill’s.
e. George, because the standard deviation of bowling scores is higher in his league.
Shoes How many pairs of shoes does a typical teenage boy own? To find out,
two AP® 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’s reported number of pairs of shoes is at the percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?
Batter up! Refer to Exercise Use the rule to answer the following questions.
a. About what percent of Major League Baseball players with plate appearances had batting averages of or higher? Show your method clearly.
b. A player with a batting average of is at about what percentile in this distribution? Justify your answer.
What do you think about this solution?
We value your feedback to improve our textbook solutions.