Assuming a bell- shaped distribution, what percentage of scores exceeded 190?`

Mathematics
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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 students achievement in a math course. Students who had a low level of math anxiety were taught using the traditional expository method. These students obtained a mean score of 270 with standard deviation of 40 on standard test. Assuming bell-shaped distribution, what percentage of scores exceeded 190?

Apr 29th, 2015

When they tell you that there is "no information concerning the shape of the distribution is known", they want you to use "Chebyshev's theorem". 

Scores between 240 and 400 are exactly 2 standard deviations from the mean. Agree? 

So, Chebyshev's theorem says the probability is ... 

P = 1 - 1/k^2 

Where k = number of standard deviations. 

P = 1 - 1/ (2^2) = 1 - 1/4 = 3/4 = 0.75 

    = 75%

Apr 29th, 2015

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Apr 29th, 2015
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