document.write( "Question 1169244: Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 6% of the students and F's to the bottom 6%. The next 16% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.) \n" ); document.write( "
Algebra.Com's Answer #793898 by Boreal(15235) You can put this solution on YOUR website! The top 6% would be the 94th percentile \n" ); document.write( "z(0.94)=1.55 \n" ); document.write( "z=(x-mean)/sd \n" ); document.write( "1.55=(x-75)/9 \n" ); document.write( "13.99=x-75 \n" ); document.write( "x=88.99 or 89 \n" ); document.write( " |