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Chapter 2: Q 74. (page 141)

Normal to be foreign-born? The histogram displays the percent of foreign-born residents in each of the 50 states.12 Explain why this distribution of the percent of foreign-born residents in the states 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 histogram's distribution is skewed to the right; we can also see that most of the dots in the histogram are to the left, with a tail of less common values to the right.

We know that

The Normal distribution should be symmetric.

And

This distribution has been skewed to the right.

We can say

This distribution is not approximately the Normal distribution.

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Most popular questions from this chapter

Used cars, cheap! A used-car salesman has 28 cars in his inventory, with prices ranging from \(11,500 to \)25,000. For a Labor Day sale, he reduces the price of each car by $500. What effect will this reduction have on each of the following characteristics of the resulting distribution of price?

a. Shape

b. Mean and median

c. Standard deviation and interquartile range (IQR)

Making money (2.1) The parallel dot plots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Means and standard deviations are given below the dot plots.

Consider individuals in each state with total family incomes of $95,000 Which individual has a higher income, relative to others in his or her state? Use percentiles and z-scores to support your answer.

Watch the salt! Refer to Exercise 55About what percent of the meals

ordered contained between 1200 mg and 1800 mg of sodium?

Watch the salt! A study investigated about 3000 meals ordered from

Chipotle restaurants use the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle’s published nutrition information. The distribution of sodium content is approximately Normal with a mean of 2000mg and a standard deviation of 500mg.10About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?

Shopping spree The figure is a cumulative relative frequency graph of the amount spent by 50 consecutive grocery shoppers at a store.

a. Estimate the interquartile range (IQR) of this distribution. Show your method.

b. What is the percentile for the shopper who spent \(19.50?

c. Explain why the graph is steepest between \)10 and $30
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