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Chapter 2: Q2 (page 55)

More Heights The population of heights of adult males is normally distributed. If we obtain a voluntary response sample of 5000 of those heights, will a histogram of the sample heights be bell-shaped?

Short Answer

Expert verified

Yes, the histogram of the sample heights will be bell-shaped.

Step by step solution

01

Given information

The population of heights of all adult males is normally distributed.

A histogram is plotted for a voluntary sample of 5000 heights of adult males.

02

Histogram for normally distributed data

If a sample of sufficiently large size is extracted from a normally distributed population, it will also follow a normal distribution.

The histogram for such a sample is always bell-shaped.

Here, the size of the sample is extremely large (5000). This ensures that the sample will follow a normal distribution.

The histogram will be mound (bell)-shaped as the obtained sample is normally distributed.

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Most popular questions from this chapter

Information provided by the World Meteorological Association revealed following data on the highest recorded temperature for each continent.

a. What type of data is presented in the first column of the table ?

b. What type of data is presented in the second column of the table ?

c. What type of data is presented in the third column of the table ?

d. What type of data is provided by the information that Death Valley is in the United States?

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Environment

a. After collecting the average (mean) global temperatures for each of the most recent 100 years, we want to construct the graph that is most appropriate for these data. Which graph is the best?

b. After collecting the average (mean) global temperature and the amount of carbon monoxide emissions for the most recent 100 years, we want to construct a graph to investigate the association between those two variables. Which graph is the best?

c. An investigation of carbon monoxide sources includes motor vehicles, furnaces, fires, coal-burning power plants, and tobacco smoke. If we want to construct a graph that illustrates the relative importance of these sources, which graph is the best?

Linear Correlation In this section we use r to denote the value of the linear correlation coefficient. Why do we refer to this correlation coefficient as being linear?
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