document.write( "Question 466005: suppose that the frequency distibution of scores on an examination is closely described by a bell-shaped frequency curve and the distribution has a mean of 57.5 and a standard deviation of 10
\n" ); document.write( "(i) what exam score would correspond to the standard score Z=2/3
\n" ); document.write( "(ii) what percentage of candidates would be awarded grade A if the cut-off for the grade A is 75 marks.
\n" ); document.write( "(iii) can a score of 20 marks be considered an out liar? explain your answer. \n" ); document.write( "

Algebra.Com's Answer #319383 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "z = (x-u)/s, 
\n" );
document.write( "x = zs + u
\n" );
document.write( "x = (2/3)10 +57.5
\n" );
document.write( "x = 64.17\r
\n" );
document.write( "\n" );
document.write( "z = (75-57.5)/10 = 1.75    NORMSDIST(1.75)= .9599  
\n" );
document.write( " 4% of candidates with an A\r
\n" );
document.write( "\n" );
document.write( " mean 57.5, sd = 10  
\n" );
document.write( "Score of 20 nearly 4 sd left of mean...definitely an \"out liar\" \n" );
document.write( "

\n" );