document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040017>Question 1040017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores for more than 1 million students in a recent high school graduating class was roughly normal with mean &#956; = 20.8 and standard deviation &#963; = 4.8. SAT scores are reported on a scale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class were roughly normal with mean &#956; = 1026 and standard deviation &#963; = 209.\r<BR>\n" );
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document.write( "How well must Abigail do on the SAT in order to place in the top 10% of all students? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654913 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=654913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> low SAT is 400, and high is 1600.<BR>\n" );
document.write( "Top 10% is a z-value of +1.282<BR>\n" );
document.write( "z=(x-mu)/sd<BR>\n" );
document.write( "z*sd=(x-mu)<BR>\n" );
document.write( "1.28*209=267.9, round to 268<BR>\n" );
document.write( "x-mu=268<BR>\n" );
document.write( "x=1026+268=1294<BR>\n" );
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