The Average Score of 100 Students Taking a Statistics Final

question 29

Multiple Choice

The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?

• A) 81.48
• B) 90.00
• C) 83.72
• D) 78.96

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Definitions:

Standard Errors

The standard deviation of the sampling distribution of a statistic, commonly used in estimating the margin of error.

Operating Characteristic Curve

A graph that shows the capability of a test to distinguish between different states, such as defective and non-defective items.

Type II Error

The statistical mistake of failing to reject a false null hypothesis, or the error of not detecting an effect or difference when one truly exists.

Type I Error

Incorrectly dismissing a true null hypothesis as false.