document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848990>Question 848990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assume a population with a mean of 140 and a standard deviation of 12. <BR>\n" );
document.write( " Find the percentile rank of a score of 147.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511324 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we must standardize our variable. That is, convert to a z-score.\r<BR>\n" );
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document.write( "P[X<147]  = ?\r<BR>\n" );
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document.write( "Convert to z-score.\r<BR>\n" );
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document.write( "P[Z< (147-140)/12]\r<BR>\n" );
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document.write( "P[Z< .58]\r<BR>\n" );
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document.write( "Using either a z-table or your graphing calculator:\r<BR>\n" );
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document.write( "P[Z<.58] = .719\r<BR>\n" );
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document.write( "Or 71.9th percentile. </SPAN>\n" );
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