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Chapter 4: Q. T4.4 (page 289)

Tonya wanted to estimate the average amount of time that students at her school spend on Facebook each day. She gets an alphabetical roster of students in the school from the registrar鈥檚 office and numbers the students from 1 to 1137. Then Tonya uses a random number generator to pick 30 distinct labels from 1 to 1137. She surveys those 30 students about their Facebook use. Tonya鈥檚 sample is a simple random sample because

a. it was selected using a chance process.

b. it gave every individual the same chance to be selected.

c. it gave every possible sample of size 30 an equal chance to be selected.

d. it doesn鈥檛 involve strata or clusters.

e. it is guaranteed to be representative of the population.

Short Answer

Expert verified

The correct option is:

b. it gave every individual the same chance to be selected.

Step by step solution

01

Given information

We have been given four options from which we have to select the correct one.

a. it was selected using a chance process.

b. it gave every individual the same chance to be selected.

c. it gave every possible sample of size 30 an equal chance to be selected.

d. it doesn鈥檛 involve strata or clusters.

e. it is guaranteed to be representative of the population.

02

Explanation

  • Because she was chosen at random, everyone has a possibility of getting chosen.
  • It gave every individual the same chance to be selected.

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Most popular questions from this chapter

Bias in a sampling method is

a. any difference between the sample result and the truth about the population.

b. the difference between the sample result and the truth about the population due to

using chance to select a sample.

c. any difference between the sample result and the truth about the population due to

practical difficulties such as contacting the subjects selected.

d. any difference between the sample result and the truth about the population that

tends to occur in the same direction whenever you use this sampling method.

e. racism or sexism on the part of those who take the sample.

Customer satisfaction A department store mails a customer satisfaction survey to people

who make credit card purchases at the store. This month, 45000people made credit card

purchases. Surveys are mailed to 1000of these people, chosen at random, and 137people

return the survey form. Identify the population and the sample.

A TV station wishes to obtain information on the TV viewing habits in its market area.

The market area contains one city of population 170,000, another city of70,000, and

four towns of about 5000residents each. The station suspects that the viewing habits

may be different in larger and smaller cities and in the rural areas. Which of the

following sampling designs would yield the type of information the station requires?

a. A stratified sample from the cities and towns in the market area

b. A cluster sample using the cities and towns as clusters

c. A convenience sample from the market area

d. A simple random sample from the market area

e. An online poll that invites all people from the cities and towns in the market area to

participate.

SRS of engineers? A corporation employs 2000 male and 500 female engineers. A stratified random sample of 200 male and 50 female engineers gives every individual in the population the same chance to be chosen for the sample. Is it an SRS? Explain your answer.

High-speed Internet Laying fiber-optic cable is expensive. Cable companies want to make sure that if they extend their lines to less dense suburban or rural areas, there will be sufficient demand so the work will be cost-effective. They decide to conduct a survey to determine the proportion of households in a rural subdivision that would buy the service. They select a simple random sample of 5blocks in the subdivision and survey each family that lives on one of those blocks.

a. What is the name for this kind of sampling method?

b. Give a possible reason why the cable company chose this method.
See all solutions

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