document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156422>Question 1156422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 20 points, how many students should the administrator sample? Make sure to give a whole number answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779339 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=779339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use z since sd known<BR>\n" );
document.write( "error is +/-z 0.94*sigma/sqrt(n)=20<BR>\n" );
document.write( "1.55*300/sqrt(n)=20<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "216225/n=400<BR>\n" );
document.write( "n=540.56 or 541<BR>\n" );
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