A study was designed to investigate the effects of two variables - (1) a student

Question

A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 500 with a standard deviation of 40 on a standardized test. Using the Empirical Rule and assuming a bell-shaped distribution, where would approximately 68% of the students score?

Explanation / Answer

The empirical rule states that for a bell shaped distribution, 68% of all the values lie within one standard deviation of the mean value.

Here, mean = 500

Standard deviation = 40

So, 68% of students will score within 1 standard deviation of the mean, which means (500-40) to (500+40)

So, 68% of students score between 460 and 540.

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