document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192028>Question 1192028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 11. In 2000, as reported by the ACT Research Service, the mean ACT Math score was 20.7. If ACT<BR>\n" );
document.write( "math scores are normally distributed with o = 5, answer the following questions. Round to 2<BR>\n" );
document.write( "decimal places.<BR>\n" );
document.write( "=<BR>\n" );
document.write( "a. If a student's ACT Math score is better than 80% of the students taking the exam (80'<BR>\n" );
document.write( "percentile), what was his score? Hint: If you score better than someone, would their score be higher<BR>\n" );
document.write( "or lower than yours? This will indicate which way you should shade!\r<BR>\n" );
document.write( "\n" );
document.write( "b. A certain college considers only applications in which the ACT Math score is in the top 5% of<BR>\n" );
document.write( "scores. What score is required to be considered?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823921 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=823921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 80% percentile is z=0.8416<BR>\n" );
document.write( "so z=(x-mean)/sd<BR>\n" );
document.write( "0.8416=(x-20.7)/5<BR>\n" );
document.write( "4.208=x-20.7<BR>\n" );
document.write( "x=25.91<BR>\n" );
document.write( "-<BR>\n" );
document.write( "top 5% is z=1.645<BR>\n" );
document.write( "this becomes 8.225=(x-20.7)<BR>\n" );
document.write( "x=28.93<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );