If a Population Distribution Is Known to Be Normal, Then

question 42

Multiple Choice

If a population distribution is known to be normal, then it follows that

• A) the sample mean must equal the population mean.
• B) the sample mean must equal the population mean for large samples.
• C) the sample standard deviation must equal the population standard deviation.
• D) the sample mean must equal the population mean, the sample mean must equal the population mean for large samples, and the sample standard deviation must equal the population standard deviation.
• E) None of these answers is correct.

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Definitions:

Circus

A traveling show featuring performances by acrobats, clowns, trained animals, and other novelty acts in a large tent or outdoor venue.

Performers

Individuals who entertain audiences by acting, singing, dancing, or playing musical instruments.

Correlation

A measure of the relationship between two variables, indicating how changes in one variable are associated with changes in another.

Statistical Relationship

A quantifiable correlation or association between two or more variables, identified through statistical analysis.