document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629073>Question 629073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that a population of scores is normally distributed with the mean equal 110 and standard deviation equal to 8, determine the following:<BR>\n" );
document.write( "a)The percen tile rank of a score of 120<BR>\n" );
document.write( "b)the percentile of scores that are below a score of 99. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396068 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=396068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that a population of scores is normally distributed with the mean equal 110 and standard deviation equal to 8, determine the following:<BR>\n" );
document.write( "a)The percentile rank of a score of 120<BR>\n" );
document.write( "z(120) = (120-110)/8 = 1.25 <BR>\n" );
document.write( "%ile rank of 120 = %ile rank of z = 1.25: <BR>\n" );
document.write( "Ans: normalcdf(-100,1.25) = 0.8944<BR>\n" );
document.write( "Round up to 90%ile<BR>\n" );
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document.write( "b)the percentile of scores that are below a score of 99.<BR>\n" );
document.write( "z(99) = (99-100)/8 = -1/8<BR>\n" );
document.write( "P(x < 99) = P(z < -1/8) = normalcdf(-100,-1/8) = 0.4503<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );