document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098246>Question 1098246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IQ scores on the Stanford-Binet Intelligence Test are normally distributed with a mean &#956; = 100 and standard deviation &#963; = 16. (a) In order to qualify for Mensa, an organization of people with high IQ scores, one must have an IQ at the 98th percentile. What IQ score is required to qualify for Mensa? (b) Statisticians typically consider an event \"unusual\" if it has less than a 5% chance of occurring. What would be the cut-off IQ for an \"unusually\" high IQ?\r<BR>\n" );
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document.write( "If someone could help me with this problem, i would appreciate it  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712616 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=712616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z score for the 98th percentile is +2.055<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "2.055(16)=x-100<BR>\n" );
document.write( "32.88+100=x<BR>\n" );
document.write( "x=132.88<BR>\n" );
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document.write( "z(0.95)=+1.645<BR>\n" );
document.write( "+1.645(16)=x-100<BR>\n" );
document.write( "x=126.32 </SPAN>\n" );
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