A study was designed to investigate the effects of two variables long dash (1) a student's level of mathematical anxiety and (2) teaching method long dash 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 250 with a standard deviation of 40 on a standardized test. Assuming a mound-shaped and symmetric distribution, in what range would approximately 99.7 % of the students score?

Question

Mathematics

Kevin Joyce

18 March, 12:02

A study was designed to investigate the effects of two variables long dash (1) a student's level of mathematical anxiety and (2) teaching method long dash 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 250 with a standard deviation of 40 on a standardized test. Assuming a mound-shaped and symmetric distribution, in what range would approximately 99.7 % of the students score?

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Nia Singh · Answer 1

99.7% of the students would fall between 130 and 370.

Using the empirical rule we know that 99.7% of the data falls within 3 standard deviations of the mean. The standard deviation is 120, so this means our range is from 250-120 to 250+120, or 130 to 370.