document.write( "Question 1192018: The scores in a Statistics test follow a normal distribution with an average score of 82 and standard deviation of 5. If all students who got 88 to 94 received a \"very good\", and it was announced that only 8 received a very good, how many students took the test? \n" ); document.write( "

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mean is 82.
\n" ); document.write( "standard deviation is 5.
\n" ); document.write( "all students who got 88 to 94 received very good.
\n" ); document.write( "only 8 received very good.
\n" ); document.write( "x-score formula is z = (x-m)/sd
\n" ); document.write( "z is the z-score
\n" ); document.write( "x is the raw score
\n" ); document.write( "m is the mean
\n" ); document.write( "sd is the standard deviation
\n" ); document.write( "low z-score = (88 - 82) / 5 = 1.2
\n" ); document.write( "high z-score = (94 - 82) / 5 = 2.4
\n" ); document.write( "area between these z-scores is equal to .10687.
\n" ); document.write( "take 8 and divide it by that to get 74.85.
\n" ); document.write( "that should be your answer.
\n" ); document.write( "round to 75 if you need integers.
\n" ); document.write( "with population of 75, .10687 * that = = 8.01 which you can round to 8.
\n" ); document.write( "you will not get an integer answer so some rounding will be required.
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