The Scores of a Class Are Normally Distributed with a Mean

question 19

Multiple Choice

The scores of a class are normally distributed with a mean of 82 and a standard deviation of 8. What is the standard deviation of the sampling distribution of the sample mean, , if a sample of 64 students is selected at random from all students taking that course?

• A) 10.25
• B) 8.00
• C) 1.25
• D) 1.00

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Definitions:

Sample Size

The number of participants or observations included in a study, which impacts the study's ability to detect effects and generalize findings.

Range of Scores

The difference between the highest and lowest values in a set of numerical data, indicating the spread or dispersion of the scores.

Research Method

A systematic plan for conducting research, involving techniques and steps to collect and analyze information to increase our understanding of a topic or issue.

Experimenter Bias

A form of bias introduced by the experimenter whose expectations about the outcome of the experiment can be subtly communicated to the participants.