Statistics Quiz

It is a branch of applied mathematics that involves the collection, description, analysis, and inference of conclusions from quantitative data.

It refers to the entire group that is under study or investigation.

• A. population

• B. random sampling

• C. sample

• D. subset

The mean of the sampling distribution of the sample means according to the Central Limit Theorem is __________.

• A. cannot be determined.

• B. exactly equal to the population mean.

• C. close to the population mean if the sample size is large.

• D. equal to the population mean divided by the square root of the sample size.

It is a subset taken from a population, either by random or nonrandom sampling techniques.

• A. population

• B. random sampling

• C. sample

• D. subset

Using the z-table, find the z-score of the 24th percentile P24.

• z = -0.4918

• z = -0.4953

• z = -0.645

• z = -0.705

If the random samples are large, what is the shape of the sampling distribution of the mean?

• A. skewed to the left

• B. skewed to the right

• C. normal

• D. rectangular

Samples of size 25 are selected from a population with a mean of 40 and a standard deviation of 7.5. What is the mean of the sampling distribution of sample means?

• A. 7.5

• B. 8

• C. 25

• D. 40

The standard deviation of the sampling distribution of the sample means according to the Central Limit Theorem is __________.

• A. cannot be determined.

• B. exactly equal to the population mean.

• C. close to the population mean if the sample size is large.

• D. equal to the population mean divided by the square root of the sample size.

The Central Limit Theorem says that the sampling distribution of the sample mean is approximately normal if __________.

• the sample size is large.

• the sample size is small.

• all possible sample are selected.

• the standard error of the sampling mean is small

If a researcher wants to observe, examine or test a theory or hypothesis, he will consider the problem by selecting a section of the population of the study using a method called _______________________.

• Non-random sampling

• Random sampling

• Variable distribution

• Z-distribution