document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076029>Question 1076029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that IQ scores are normally distributed, with a standard deviation of 18 points and a mean of 100 points. If 85 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690721 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=690721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard error of mean is sigma/sqrt(n)=18/sqrt (85)=1.95<BR>\n" );
document.write( "z (lower) is (98-100)/1.95=-2/1.95=-1.024<BR>\n" );
document.write( "z (upper) is +1.024<BR>\n" );
document.write( "Want probability in between, which is 0.6943. </SPAN>\n" );
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