document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120470>Question 1120470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a survey of women in a certain country&#8203; (ages 20minus&#8203;29), the mean height was 63.7 inches with a standard deviation of 2.73 inches. Answer the following questions about the specified normal distribution.<BR>\n" );
document.write( "&#8203;(a) What height represents the 95th &#8203;percentile?<BR>\n" );
document.write( "&#8203;(b) What height represents the first&#8203; quartile? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736133 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) z-score for the 95% is 1.64<BR>\n" );
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document.write( "1.64 = ( X - 63.7 ) / 2.73<BR>\n" );
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document.write( "X - 63.7 = 1.64 * 2.73 = 4.4772<BR>\n" );
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document.write( "X = 63.7 + 4.4772 = 68.1772 approximately 68.2 inches<BR>\n" );
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document.write( "b) z-score for 25% is -0.68<BR>\n" );
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document.write( "-0.68 = ( X - 63.7 ) / 2.73<BR>\n" );
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document.write( "X - 63.7 = -0.68 * 2.73 = -1.8564<BR>\n" );
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document.write( "X = 63.7 - 1.85664 = 61.8436 approximately 61.8 inches<BR>\n" );
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