document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198036>Question 1198036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> he heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.65 inches. The heights of adult women in America are also normally -distributed, but with a mean of 64.3 inches and a standard deviation of 2.59 inches.\r<BR>\n" );
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document.write( "a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?\r<BR>\n" );
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document.write( "z = \r<BR>\n" );
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document.write( "b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?\r<BR>\n" );
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document.write( "z = \r<BR>\n" );
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document.write( "c) Who is relatively taller?\r<BR>\n" );
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document.write( "-The 6 foot 3 inch American man<BR>\n" );
document.write( "-The 5 foot 11 inch American woman </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831534 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: standard Normal Curve:  µ = 0 and σ =1<BR>\n" );
document.write( "for ex: to the right of center,  z-score becomes larger as distance, in terms of σ from the mean, increases.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+graph%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+exp%28-x%5E2%2F2%29%29%2C+green%28line%281%2C0%2C1%2Cexp%28-1%5E2%2F2%29%29%2Cline%28-1%2C0%2C-1%2Cexp%28-1%5E2%2F2%29%29%29%2Cgreen%28line%282%2C0%2C2%2Cexp%28-2%5E2%2F2%29%29%2Cline%28-2%2C0%2C-2%2Cexp%28-2%5E2%2F2%29%29%29%2Cgreen%28line%283%2C0%2C3%2Cexp%28-3%5E2%2F2%29%29%2Cline%28-3%2C0%2C-3%2Cexp%28-3%5E2%2F2%29%29%29%2Cgreen%28line%28+0%2C0%2C+0%2Cexp%280%5E2%2F2%29%29%29%2Clocate%284.8%2C-.01%2Cz%29%2Clocate%284.8%2C.2%2Cz%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Men Normal Distribution: µ = 69.2 and σ = 2.65  <BR>\n" );
document.write( "Women Normal Distribution: µ = 64.3 and σ = 2.59<BR>\n" );
document.write( "z(man 75\") = ( 75 - 69.2)/2.65 = 2.1887<BR>\n" );
document.write( "z(woman 71\") = (71 - 64.3)/2.59 = 2.5869****Represents More standard deviations from mean <BR>\n" );
document.write( "c) Who is 'relatively taller? <BR>\n" );
document.write( "-The 5 foot 11 inch American woman  <BR>\n" );
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