document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293222>Question 293222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.\r<BR>\n" );
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document.write( "I can work it out to the point where P(Z>(x-64.5/2.4)=0.7<BR>\n" );
document.write( "I don't really get the explanation that I have in front of me so I tried a websearch. I found a lot of answers to similar problems, but most of the answers require graphing calculators and I'm working by hand. I would appreciate some advice on what to do next. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211790 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=211790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. <BR>\n" );
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document.write( "You have to have some technology that gives you z-scores or you<BR>\n" );
document.write( "have to know how to use a z-chart (which you can find on-line).<BR>\n" );
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document.write( "Procedure.<BR>\n" );
document.write( "Draw a normal curve.<BR>\n" );
document.write( "Let \"z\" be the horizontal axis.<BR>\n" );
document.write( "Mark a point on the axis that has 70% of the area to its left<BR>\n" );
document.write( "and 30% to its right.<BR>\n" );
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document.write( "Find the z-value of that point.<BR>\n" );
document.write( "I get z = 0.5244<BR>\n" );
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document.write( "Draw another normal curve.<BR>\n" );
document.write( "Let \"x\" be the horizontal axis.<BR>\n" );
document.write( "Put a point on the x-axis that corresponds to z=0.5244.<BR>\n" );
document.write( "That point will have 70% of the heights to the left and<BR>\n" );
document.write( "30% of the heights to the right.<BR>\n" );
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document.write( "Now find the x-value of that point using x = zs + u<BR>\n" );
document.write( "I get x = 0.5244*2.4 + 64.5<BR>\n" );
document.write( "x = 65.76 inches.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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