The Office of Student Services at a Large Western State

question 42

Multiple Choice

The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 144 current students. What is the standard error of the mean?

• A)0.50
• B)6.00
• C)0.25
• D)2.00

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Definitions:

Population Mean

The average of all observations or values in a total population, representing the central value around which the figures in the population distribute.

Sample Statistic s

Calculated value (such as mean or standard deviation) from a sample of data, used to infer characteristics of the entire population.

Standard Error

A measure of the statistical accuracy of an estimate, calculated as the standard deviation of the sampling distribution of a statistic.

Probability Distribution

A function that describes the likelihood of different outcomes in an experiment.