document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012460>Question 1012460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 17. A group of students at a school takes a history test. The distribution is normal with a mean of 25, and a standard deviation of 4.\r<BR>\n" );
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document.write( "a. Everyone who scores in the top 30% of the distribution gets a certificate. What is the lowest score someone can get and still earn a certificate?\r<BR>\n" );
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document.write( "b. The top 5% of the scores get to compete in a statewide history contest. What is the lowest score someone can get and still go onto compete with the rest of the state?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628639 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=628639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mean 25<BR>\n" );
document.write( "sd=4<BR>\n" );
document.write( "z0.70=0.525<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "z*sd=x-mean=2.1<BR>\n" );
document.write( "x=27.1 is the minimum score for the top 30%.<BR>\n" );
document.write( "top 5% has a z0,95=1.645<BR>\n" );
document.write( "That * sd of 4=6.580<BR>\n" );
document.write( "added to mean, and that score is 31.58 </SPAN>\n" );
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