document.write( "Question 621465: The area under a normal curve with mu = 15 and sigma = 2 is
\n" ); document.write( "0
\n" ); document.write( "1
\n" ); document.write( "2
\n" ); document.write( "none of these \r
\n" ); document.write( "\n" ); document.write( "If Mary gets a 90 on a physics test where the mean is 85 and the standard deviation is 4.59, where does she stand in relation to her classmates?
\n" ); document.write( "She is in the top 15%.
\n" ); document.write( "She is in the bottom 15%.
\n" ); document.write( "She is in the top 5%.
\n" ); document.write( "She is in the bottom 5%.\r
\n" ); document.write( "\n" ); document.write( "In a normal distribution with mu = 25 and sigma = 9, what number corresponds to z = -2?
\n" ); document.write( "21
\n" ); document.write( "16
\n" ); document.write( "7
\n" ); document.write( "none of these \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #390758 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Note: Bell shaped Curve showing placement of z = 0, z = ±1, 2, 3
\n" ); document.write( "Left or Right of z = 0 being 50% of the area under the standard normal curve...
\n" ); document.write( "The area under a normal curve = 1
\n" ); document.write( "
\n" ); document.write( "As to: A set of data is normally distributed with a mean of 85 and SD of 4.59
\n" ); document.write( "x = 90
\n" ); document.write( " z = (90-85)/4.59 = 1.089
\n" ); document.write( "Exel function NORMSDIST(1.089) = .862 , 86.2% to the left and 13.8% to the right
\n" ); document.write( "
\n" ); document.write( "As:a normal distribution with mu = 25 and sigma = 9, if z = -2,
\n" ); document.write( "then z = (x -25)/9 = -2, and x = -18 + 25 = 7 \n" ); document.write( "
\n" );