document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091258>Question 1091258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the mark vi monorail used at disney world has doors with a height of 72 inches. heights of men normally distributed with a mean of 69.4 inches and a standard deviation of 2.2 inches\r<BR>\n" );
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document.write( "A. what percentage of adult men can fit through the doors without bending?\r<BR>\n" );
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document.write( "B. what doorway height would allow 99% of adult men to fit without bending? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705795 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=705795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "want z for a mean of 69.4<BR>\n" );
document.write( "percent of men over 72 inches<BR>\n" );
document.write( "z=(72-69.4)/2.2=1.182<BR>\n" );
document.write( "z <+1.182 is the probability desired,of 0.8814 or 88.1%<BR>\n" );
document.write( "for 99%, need the value of z (0.99), which is +2.328<BR>\n" );
document.write( "multiply that by the sd and get 5.1216. That is the difference between the mean and the height of the door.<BR>\n" );
document.write( "The door height needs to be 69.4+5.1 or 74.5 inches.<BR>\n" );
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