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Chapter 2: Q 82. (page 143)

The density of the earth In 1798, the English scientist Henry Cavendish measured the density of the earth several times by careful work with a torsion balance. The variable recorded was the density of the earth as a multiple of the density of water. A Normal probability plot of the data is shown.16 Use the graph to determine if this distribution of density measurement is approximately Normal.

Short Answer

Expert verified

No, it is not approximately normal.

Step by step solution

01

Given information

The figure is:

02

Concept

The distance between the minimum and maximum values from the mean must be the same for the distribution to be normal.

03

Explanation

The data points in the provided image do not follow a linear trend, and curvature can also be seen in the provided normal probability plot. As a result, the distribution of land area could be described as non-normal.

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Most popular questions from this chapter

Big sharks Refer to Exercise 76

a. Use your calculator to make a Normal probability plot of the data. Sketch this graph on your paper.

b. What does the graph in part (a) imply about whether the distribution of shark length is approximately Normal? Explain.

Refrigerators Refer to Exercise 75

a. Use your calculator to make a Normal probability plot of the data. Sketch this graph on your paper.

b. What does the graph in part (a) imply about whether the distribution of refrigerator capacity is approximately Normal? Explain.

Foreign-born residents The cumulative relative frequency graph shows the distribution of the percent of foreign-born residents in the 50 states.

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

b. What is the percentile for Arizona, which had 15.1% foreign-born residents that year?

c. Explain why the graph is fairly flat between 20% and 27.5%

d. Draw the histogram that corresponds to this graph.

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

Teacher raises Refer to Exercise 23 Suppose each teacher receives a 5% raise instead of a $1000 raise. What effect will this raise have on each of the following characteristics of the

resulting salary distribution?

a. Shape

b. Median

c. Interquartile range (IQR)
See all solutions

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