document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632942>Question 632942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores 300 on the SAT I has approximately what percentile rank within the population?  Show all work as to how this is obtained.\r<BR>\n" );
document.write( "\n" );
document.write( "What I have so far is 300-500/100= -200/100=-2. I am stuck up to this point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398574 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores 300 on the SAT I has approximately what percentile rank within the population? <BR>\n" );
document.write( "------<BR>\n" );
document.write( "z(300) = (300-500)/100 = -2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x < 300) = P(z < -2) = 0.0228<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So 2.28% of scores are below 300.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The percentile rank of 300 is 2%ile<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );