document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091256>Question 1091256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you are given that the standing eye heights of women are normally distributed with a mean of 1524 mm and a standard deviation of 61mm\r<BR>\n" );
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document.write( "A. a door peephole is placed at a height that is uncomfortable for women with a standing eye height greater than 1615 mm, what percentage of women will find that height uncomfortable?\r<BR>\n" );
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document.write( "B. in selecting the height of a door peephole, the architect wants its height to be suitable for the highest 99% of standing eye heights of women. what standing eye height of women separates the highest 99% of standing eye heights from the lowest 1%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706178 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=706178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are given that the standing eye heights of women are normally distributed with a mean of 1524 mm and a standard deviation of 61mm <BR>\n" );
document.write( "A. a door peephole is placed at a height that is uncomfortable for women with a standing eye height greater than 1615 mm, what percentage of women will find that height uncomfortable?<BR>\n" );
document.write( "z(1615) = (1615-1524)/61 = 1.4918<BR>\n" );
document.write( "Ans: P(x > 1615) = P(z > 1.4918) = normalcdf(1.4918,100) = 0.0679<BR>\n" );
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document.write( "B. in selecting the height of a door peephole, the architect wants its height to be suitable for the highest 99% of standing eye heights of women. what standing eye height of women separates the highest 99% of standing eye heights from the lowest 1%? <BR>\n" );
document.write( "Find the z-value with a left-tail of 0.01<BR>\n" );
document.write( "invNorm(0.01) = -2.3263<BR>\n" );
document.write( "Find the corresponding height::<BR>\n" );
document.write( "x = -2.3263*61+1524 = 1382.1 mm<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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