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Chapter 2: Q 73. (page 141)

Normal highway driving? The dot plot shows the EPA highway gas mileage estimates in miles per gallon (mpg) for a random sample of 21 the model year 2018 midsize cars.11 Explain why this distribution of highway gas mileage is not approximately Normal.

Short Answer

Expert verified

The distribution has been skewed to the right instead of roughly symmetric.

Step by step solution

01

Given information

02

Concept

A dot plot is a graphical display of data using dots.

03

Explanation

The symmetric nature of the Normal distribution is one of its characteristics.

The distribution in the dot plot is skewed to the right; we can also see that most of the dots in the dot plot are to the left, with a tail of less common values to the right.

We know that

The Normal distribution should be symmetric.

And

The distribution is biased to the right in this case.

We can say

This distribution is not approximately the Normal distribution.

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Most popular questions from this chapter

When Sam goes to a restaurant, he always tips the server \(2plus10%of the cost of the meal. If Sam鈥檚 distribution of meal costs has a mean of \)9 and a standard deviation of \(3what are the mean and standard deviation of his tip distribution?

a. \)2.90,\(0.30

b. \)2.90,\(2.30

c. \)9.00,\(3.00

d. \)11.00,\(2.00

e. \)2.00,$0.90

Long jump Refer to Exercise 21 Suppose that the corrected long-jump

distances are converted from centimeters to meters (note that 100cm=1m ).

a. What shape would the resulting distribution have? Explain your answer.

b. Find the mean of the distribution of corrected long-jump distance in meters.

c. Find the standard deviation of the distribution of corrected long-jump distance in meters.

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 20 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 22 pairs of shoes.

b. Raul鈥檚 reported number of pairs of shoes is at the 45th percentile of the distribution. Interpret this value. How many pairs of shoes does Raul own?

Outliers The percent of the observations that are classified as outliers by the 1.5脳IQRrule is the same in any Normal distribution. What is this percent? Show your method clearly.

Multiple choice: Select the best answer. Mark receives a score report detailing his performance on a statewide test. On the math section, Mark earned a raw score of 39, which placed him at the 68th percentile. This means that

(a) Mark did better than about 39% of the students who took the test.

(b) Mark did worse than about 39% of the students who took the test.

(c) Mark did better than about 68%of the students who took the test.

(d) Mark did worse than about 68% of the students who took the test.

(e) Mark got fewer than half of the questions correct on this test.
See all solutions

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