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Chapter 7: Problem 10

Is simple random sampling usually done with or without replacement?

Short Answer

Expert verified
Simple random sampling is usually done without replacement.

Step by step solution

01

Understanding the Terminology

Simple random sampling is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. It eliminates bias in the selection process. When sampling is done 'with replacement', it means a member of the population can be chosen more than once for the sample. If it's done 'without replacement', the member, once selected, will not be eligible for selection again.
02

Identifying the Usual Practice

In practice, simple random sampling is commonly performed without replacement. Doing so without replacement means that each member can only be selected once, which results in each sample being a unique unit. In turn, this provides a more accurate representation of the population.

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Most popular questions from this chapter

a. If a rifleman's gunsight is adjusted correctly but he has shaky arms, the bullets might be scattered widely around the bull's-eye target. Draw a sketch of the target with the bullet holes. Does this show variation (lack of precision) or bias? b. Draw a second sketch of the target if the shots are unbiased and have precision (little variation). The rifleman's aim is not perfect, so your sketches should show more than one bullet hole.

Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.

Suppose you want to estimate the mean weight of all the people in your locality. You set up a table outside a park asking for volunteers to tell you their weights. Do you think you would get a representative sample? Why or why not?

Explain the difference between a parameter and a statistic.

A survey was conducted to ask whether tax benefits for senior citizens should be continued or stopped. Only clubs were visited to collect data. Do you think this would introduce bias? Explain.
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