Free Practice Quiz Question List

4 Sampling and Sampling Distributions Online Quiz Questions

Use this free practice quiz with 20 questions to review 4 Sampling and Sampling Distributions, test your knowledge, and prepare for your next test or exam.

20 questions

Fill in the blank

1 point

Complete each statement. A population mean is a . A mean calculated from a sample is a .

Choose one

1 point

Which statement best describes the sampling distribution of a statistic?

A
The distribution of individual observations in one sample
B
The probability distribution of a statistic across all possible samples of a fixed size drawn using the same method
C
The distribution of population values, regardless of how a sample is selected
D
The list of statistics calculated from samples of different sizes

True or false

1 point

In simple random sampling, each possible sample of the chosen size has an equal chance of selection.

A
True
B
False

Choose all

1 point

Select all correct descriptions of stratified and cluster sampling.

A
Stratified sampling divides the population into meaningful subgroups and randomly samples from each.
B
Stratified sampling randomly selects a few subgroups and surveys everyone in only those subgroups.
C
Cluster sampling randomly selects some groups and surveys everyone—or a sample of people—in those groups.
D
Cluster sampling requires randomly selecting individuals from every group.

Fill in the blank

1 point

A survey selects customers at random, but some selected customers do not reply. This is an example of .

Choose one

1 point

A retailer surveys every 20th order after choosing a random starting order from a list. What is a potential concern with this systematic sample?

A
The method is stratified because every 20th order represents a separate subgroup.
B
The method is cluster sampling because the orders are listed together.
C
A repeating pattern in the order list could align with the interval and bias the sample.
D
The sample is guaranteed to represent the population because the starting point is random.

True or false

1 point

For independent random observations from a normally distributed population, is the sample mean normally distributed for any sample size?

A
True
B
False

Written response

1 point

Independent random observations have population standard deviation $\sigma=18$ measurement units. For samples of size $n=36$ , what is the standard error of the sample mean? Enter the value in measurement units.

Written response

1 point

A sample proportion is based on independent observations from a population with proportion $p=0.5$ . If $n=100$ , what is the standard error of the sample proportion? Enter a decimal number.

Choose one

1 point

A researcher samples without replacement, and the sample is a substantial fraction of the finite population. What effect should the finite-population correction have on the standard error?

A
The standard error increases because observations are dependent.
B
The standard error is reduced by a finite-population correction.
C
The standard error is unchanged because the population is finite.
D
The sample mean becomes exactly equal to the population mean.

Choose all

1 point

Select all statements that are supported about probability-based and convenience sampling.

A
Random selection can support quantifying sampling uncertainty.
B
A convenience sample becomes unbiased whenever its size is sufficiently large.
C
A convenience sample may systematically miss parts of the population.
D
Random selection guarantees that no selected person will fail to respond.

True or false

1 point

If part of the population is not represented in the sampling process, the sample may have a coverage problem.

A
True
B
False

Choose one

1 point

For a sample mean, the population standard deviation is unknown. Which expression commonly estimates its standard error using the sample standard deviation $s$ and sample size $n$ ?

A
$s\sqrt{n}$
B
$\frac{s}{\sqrt{n}}$
C
$\frac{n}{s}$
D
$\frac{s}{n}$

Open ended

1 point

Explain what the central limit theorem says about the sample mean as sample size grows. Include the kinds of conditions that support the result, and clarify whether it describes individual observations or sample means across repeated samples.

Choose one

1 point

A researcher repeatedly draws samples of the same size from a population using the same sampling method and calculates the sample mean each time. What does the sampling distribution of the sample mean describe?

A
The distribution of individual observations in one sample
B
The probability distribution of a statistic across all possible samples of a fixed size drawn using the same method
C
The distribution of population values before sampling
D
The distribution of sample sizes across repeated studies

Choose one

1 point

A company calculates the average transaction value using 80 randomly selected transactions. How should that calculated average be classified?

A
The average transaction value for the company's entire customer population is a statistic.
B
The average transaction value calculated from the 80 sampled transactions is a parameter.
C
The average transaction value calculated from the 80 sampled transactions is a statistic.
D
The number of sampled transactions is a parameter describing the population.

Choose one

1 point

A company wants customers from every region represented in its sample. Which sampling plan best accomplishes this by using stratified sampling?

A
Randomly select several regions and survey every customer in those regions.
B
Divide customers by region, then randomly select customers from every region.
C
Choose a random starting customer and then select every twentieth customer.
D
Survey only customers who happen to visit one store.

Choose one

1 point

A retailer randomly selects several stores and surveys all customers in those selected stores. Which sampling method is being used?

A
Cluster sampling
B
Stratified sampling
C
Systematic sampling
D
Convenience sampling

Written response

1 point

When sampling without replacement, a sample that is a substantial fraction of a finite population can have a reduced standard error. What is the name of the adjustment that accounts for this reduction?

Written response

1 point

Order values have a population standard deviation of 30 dollars. For independent random samples of $n=100$ orders, what is the standard error of the sample mean? Enter the value in dollars.