document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187603>Question 1187603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 867 and a standard deviation of 50.<BR>\n" );
document.write( "(a) What percent of students scored between 777 and 987?<BR>\n" );
document.write( "(b) What percent of students got 1004 or more on the test?<BR>\n" );
document.write( "(c) The Osgoode Hall Law School wants candidates for admission to be in the top 14 <BR>\n" );
document.write( "% of LSAT test scores. What is the minimum test score a candidate needs to achieve to be considered for admission to this school?<BR>\n" );
document.write( "(d) If a group of 46 applicants is randomly selected, what is the probability that the group average is not less than 887? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819193 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. z=(x-mean)/sd or (777-867)/50 or -1.8<BR>\n" );
document.write( "and (987-867)/50 or 2.4<BR>\n" );
document.write( "That probability that z is between those two is 0.9559\r<BR>\n" );
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document.write( "b. z > 137/50 or 2.74, with probability 0.0031\r<BR>\n" );
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document.write( "c. want z for 86th percentile and that is invnorm(0.86,0,1), or 1.08<BR>\n" );
document.write( "1.08=(x-867)/50<BR>\n" );
document.write( "x=921.\r<BR>\n" );
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document.write( "d. this is z>(887-867)/(50/sqrt(46) or 20*sqrt(46)/50 or 2.713, and that probability is 0.0033 </SPAN>\n" );
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