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Chapter 7: Q. 7.1 (page 295)

7.1 Why is sampling often preferable to conducting a census for the purpose of obtaining information about a population?

Short Answer

Expert verified

The cost of sampling is lower than the cost of census. Furthermore, a census takes longer than sampling.

Step by step solution

01

Given information

To determine the sampling often preferable to conducting a census for the purpose of obtaining information about a population.

02

Explanation

Since conducting an enumeration is ideal for every investigation, many populations are too large to consider gathering data from every part.
Gathering information from a small part of the population and analyzing the results is significantly faster and less expensive.
Yet, sampling might lead to erroneous or misleading results.
Bigger sample size is preferable in general since more information about the population may be gathered.

As a result, the cost of sampling is lower than the cost of census.
Furthermore, a census takes longer than sampling.

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Most popular questions from this chapter

Refer to Exercise 7.3 on page 295 .

a. Use your answers from Exercise 7.3(b) to determine the mean, 渭s. of the variable x炉 for each of the possible sample sizes.

b. For each of the possible sample sizes, determine the mean, 渭i, of the variable x~, using only your answer from Exercise 7.3(a).

7.42 NBA Champs. Repeat parts (b) and (c) of Exercise7.41 for samples of size 1. For part (b), use your answer to Exercise7.12(b).

America's Riches. Each year, forbes magazine publishes a list of the richest people in the United States. As of September l6, 2013, the six richest Americans and their wealth (to the neatest billion dollars) are as shown in the following table. Consider these six people a population of interest.

(a) For sample size of 4construct a table similar to table 7.2 on page293.(There are 15 possible sample of size 4

(b) For a random sample of size 4determine the probability that themean wealth of the two people obtained will be within 3(i.e,3billion) of the population mean. interpret your result in terms of percentages.

Why is obtaining the mean and standard deviation ofxa first step in approximating the sample distribution of the sample mean by a normal distribution.

You have seen that the larger the sample size, the smaller the sampling error tends to be in estimating a population means by a sample mean. This fact is reflected mathematically by the formula for the standard deviation of the sample mean: 蟽i=蟽/n. For a fixed sample size, explain what this formula implies about the relationship between the population standard deviation and sampling error.
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