document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205166>Question 1205166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of quartile 3. (Round to the nearest whole number.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842283 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 63.6<BR>\n" );
document.write( "standard deviation is 2.5\r<BR>\n" );
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document.write( "at quartile 3, 75% of the values are less than that.\r<BR>\n" );
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document.write( "z-score formula is z = (x-m)/s\r<BR>\n" );
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document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the raw mean<BR>\n" );
document.write( "s is the stqandard deviation\r<BR>\n" );
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document.write( "formula becomes z = (x - 63.6) / 2.5\r<BR>\n" );
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document.write( "z-score with 75% of the area under the normal distribution curve to the left of it is equal to .67449 rounded to 5 decimal places.\r<BR>\n" );
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document.write( "when z = that, z-score formula becomes .67449 = (x - 63.6) / 2.5<BR>\n" );
document.write( "solve for x to get x = 2.5 * .67449 + 63.6 = 65.286225.<BR>\n" );
document.write( "round to 2 decimal places to get 65.29.\r<BR>\n" );
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document.write( "65.29 is the score that is at the 75th percentile of the data set which is at quartile 3.\r<BR>\n" );
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document.write( "here's what it looks like on a normal distribution calculator.<BR>\n" );
document.write( "first display is with z-scores.<BR>\n" );
document.write( "second display is with raw scores.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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