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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

Repeat parts (b)-(e) of Exercise 7.11 for samples of size3.

Why is obtaining the mean and standard deviation of $\bar{x}$ a first step in approximating the sample distribution of the sample mean by a normal distribution?

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

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

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a. Determine the population mean height, $μ$ , of the five players:

b. Consider samples of size $2$ without replacement. Use your answer to Exercise $7.11 (b)$ on page $295$ and Definition $3.11$ on page $140$ to find the mean, $μ_{r}$ , of the variable $\hat{x}$ .

c. Find $μ_{x^{*}}$ using only the result of part (a).

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