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Chapter 4: Q 1. (page 226)

Students as customers A high school student the newspaper plans to survey local businesses about the importance of students as customers. From telephone book listings, the newspaper staff chooses 150 businesses

at random. Of these, 73 return the questionnaire mailed by the staff. Identify the population and the sample.

Short Answer

Expert verified

Population is local businesses, 73 businesses.

Step by step solution

01

Given information

150 businesses were picked at random for a school's student newspaper survey about the value of students as clients. About 73 of them responded to the staff's inquiry. We must first determine the population and sample size.

02

Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Explanation

The poll is about local companies as well as the importance of students as clients, and it has received responses from 73 firms. The population refers to the entire group of people for whom data is required. As a result, the population is made almost entirely of local enterprises. A sample is a small portion of the population from whom data is gathered. As a result, the sample consists of the 73 businesses that responded to the questionnaire.

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Most popular questions from this chapter

An example of a non-sampling error that can reduce the accuracy of a sample survey is

(a) using voluntary response to choose the sample.

(b) using the telephone directory as the sampling frame.

(c) interviewing people at shopping malls to obtain a sample.

(d) variation due to chance in choosing a sample at random.

(e) inability to contact many members of the sample.

Is it an SRS? A corporation employs 2000male and 500 female engineers. A stratified random sample of 200 male and 50 female engineers gives each engineer 1 chance in 10 to be chosen. This sample design gives every individual in the population the same chance to be chosen for the sample. Is it an SRS? Explain your answer.

Internet charges (2.1) Some Internet service providers (ISPs) charge companies based on how much bandwidth they use in a month. One method that ISPs use for calculating bandwidth is to find the 95th percentile of a company鈥檚 usage-based on samples of hundreds of 5-minute intervals during a month.

(a) Explain what 鈥�95th percentile鈥� means in this setting.

(b) Which would cost a company more: the 95th percentile method or a similar approach using the

98th percentile? Justify your answer.

Random digits Which of the following statements are true of a table of random digits, and which are false? Briefly explain your answers.

(a) There are exactly four 0s in each row of 40 digits.

(b) Each pair of digits has a chance 1/100 of being 00

(c) The digits 0000 can never appear as a group

because this pattern is not random.

Checking for bias Comment on each of the following as a potential sample survey question. Is the question clear? Is it slanted toward the desired response?

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

1. The government should confiscate our guns.

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

(b) A freeze on 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?
See all solutions

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