document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040595>Question 1040595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose ACT Reading scores are normally distributed with a mean of 21.4 and a standard deviation of 6.4.  A university plans to award scholarships to students whose scores are in the top 5%.  What is the minimum score required for the scholarship?  Round your answer to the nearest tenth, if necessary </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655475 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=655475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The z-score for 0.95 is +1.645<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "1.645*6.4=x-21.4<BR>\n" );
document.write( "x=21.4+(6.4*1.645)=21.4+10.5=31.9<BR>\n" );
document.write( "The 95th percentile is at 31.9, and that is the minimum score. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );