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Chapter 4: Q. 20 (page 238)

SRS of students? At a party, there are 30 students over age 21 and 20students underage21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about their attitudes toward alcohol. You have given every student at the party the same chance to be interviewed. Is your sample an SRS? Explain your answer.

Short Answer

Expert verified

The sample is not a SRS

Step by step solution

01

Given information 

We need to find whether the sample is SRS or not

02

Explanation

A sample of size nis used in simple random sampling, and each sample of size nhas an equal probability of being chosen.

In this scenario, the sample will include three students over the age of 21and two students under the age of 21, with the students being chosen at random from the age groups (over age 21and under age 21).

This sample, however, will not be a simple random sample, as some samples will have no probability of being chosen (for example, a sample of exclusive students over the age of 21), while others will have a possibility of being chosen.

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Most popular questions from this chapter

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.

In the experiment of the preceding exercise, the subjects were randomly assigned to the

different treatments. What is the most important reason for this random assignment?

a. Random assignment eliminates the effects of other variables such as stress and body

weight.

b. Random assignment is a good way to create groups of subjects that are roughly

equivalent at the beginning of the experiment.

c. Random assignment makes it possible to make a conclusion about all men.

d. Random assignment reduces the amount of variation in blood pressure.

e. Random assignment prevents the placebo effect from ruining the results of the study.

Boosting preemies Do blood-building drugs help brain development in babies born prematurely? Researchers randomly assigned 53babies, born more than a month premature and weighing less than 3pounds, to one of three groups. Babies either received injections of erythropoietin (EPO) three times a week, darbepoetin once a week for several weeks, or no treatment. Results? Babies who got the medicines scored much better by age 4on measures of intelligence, language, and memory than the babies who received no treatment.

a. Explain how this experiment used comparison.

b. Explain the purpose of randomly assigning the babies to the three treatments.

c. Name two variables that were controlled in this experiment and why it was beneficial to

control these variables.

d. Explain how this experiment used replication. What is the purpose of replication in this

context?

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?

Sampling mall shoppers You may have seen the mall interviewer, clipboard in hand, approaching people passing by. Explain why even a large sample of mall shoppers would not provide a trustworthy estimate of the current unemployment rate in the city where the mall is located.
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