document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159337>Question 1159337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that IQ scores in one region are normally distributed with a standard deviation of 14. Suppose also that exactly 60% of the individuals from this region have IQ scores of greater than 100(and that 40% do not). <BR>\n" );
document.write( "What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782352 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=782352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "60th percentile is a z-score of 0.2533<BR>\n" );
document.write( "therefore, 0.2533=(100-mean)/14<BR>\n" );
document.write( "so 3.5469=100-mean, multiplying through by 14<BR>\n" );
document.write( "the mean = 100-3.5469=96.45 or 96.5 is the mean </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );