Mean and Variance Are Two Statistics Defined for Both the Population

question 18

Multiple Choice

Mean and variance are two statistics defined for both the population and the sample. What is the difference?

• A) The value of the sample mean/variance varies from sample to sample, whereas there is just one value for the population mean/variance.
• B) The value of the population mean/variance varies from sample to sample, whereas there is just one value for the sample mean/variance.
• C) The value of the sample mean/variance is always less than the value of the population mean/variance, since the sample size is less than the population size.

---

Definitions:

Summarizing

The act of briefly presenting the main points or essence of a longer text or speech in a concise form.

Paraphrasing

the act of expressing the meaning of something written or spoken using different words, especially to achieve greater clarity.

Critical Value

A cutoff point on a test statistic at or beyond which the null hypothesis is rejected in favor of the alternative hypothesis.

Hypothesis Test

A statistical method used to determine whether there is enough evidence to reject a null hypothesis in favor of an alternative hypothesis.