(I as the Sample Size (N) Increases, the Spread in the Distribution

question 28

Multiple Choice

(i. As the sample size (n) increases, the spread in the distribution of the sample means increases. (ii) If the sampling size equals the population size, the sampling error is zero.
(iii) If a population is normally distributed, the sampling distribution of the mean is normally distributed.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Variable

An attribute, characteristic, or measurement that can take on different values across individuals, objects, or time points in data collection and analysis.

Increases

A term indicating a rise or growth in a numerical value or quantity.

Scatter Diagram

A graph used in statistics to visually display and analyze the relationship between two numerical variables by plotting data points on a Cartesian plane.

Income

The monetary payment received for goods or services, or from other sources, usually calculated on a yearly basis.