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Chapter 4: Q. 4 (page 236)

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.

Short Answer

Expert verified

Population: The 45000people who used their credit cards to make purchases.

Sample: The 137people who replied to the survey were used as a sample.

Step by step solution

01

Given information

We have to find the population and the sample.

02

Explanation

A sample survey picks a group of people from a larger group of people about whom we wish to learn more.The 45000people who used their credit cards to make purchases..The 137people who replied to the survey were used as a sample.

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Most popular questions from this chapter

Sealing your teeth- Many children have their molars sealed to help prevent cavities. In an experiment, 120children aged6–8were randomly assigned to a control group, a group in which sealant was applied and reapplied periodically for 36months, and a group in which fluoride varnish was applied and reapplied periodically for 42months. After 9years, the percent of initially healthy molars with cavities was calculated for each group. Identify the experimental units and the treatments.

Checking for bias Comment on each of the following as a potential sample survey

question. Is the question clear? Is it slanted toward a desired response?

a. Which of the following best represents your opinion on gun control?

i. The government should confiscate our guns.

ii. We have the right to keep and bear arms.

b. A freeze in nuclear weapons should be favored because it would begin a much-needed

process to stop everyone in the world from building nuclear weapons now and reduce

the possibility of nuclear war in the future. Do you agree or disagree?

Online reviews Many websites include customer reviews of products, restaurants, hotels,

and so on. The manager of a hotel was upset to see that 26%of reviewers on a travel

website gave the hotel “1star”—the lowest possible rating. Explain how bias in the

sampling method could affect the estimate.

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’s 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’s 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’t involve strata or clusters.

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

Tweet, tweet! What proportion of students at your school use Twitter? To find out, you survey a simple random sample of students from the school roster.

a. Will your sample result be exactly the same as the true population proportion? Explain your answer.

b. Which would be more likely to produce a sample result closer to the true population value: an SRS of 50students or an SRS of 100students? Explain your answer.
See all solutions

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