document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299129>Question 299129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are designing an instrument panel for a large industrial machine.<BR>\n" );
document.write( "The machine requires the person using it to reach 2 feet from a particular position.<BR>\n" );
document.write( "The reach from this position for adult women is known to have a mean of 2.8 feet<BR>\n" );
document.write( "with a standard deviation of .5. The reach for adult men is known to have a mean<BR>\n" );
document.write( "of 3.1 feet with a standard deviation of .6. Both women’s and men’s reach from<BR>\n" );
document.write( "this position is normally distributed. If this design is implemented, (a) what percentage<BR>\n" );
document.write( "of women will not be able to work on this instrument panel? (b) What percentage<BR>\n" );
document.write( "of men will not be able to work on this instrument panel? (c) Explain your<BR>\n" );
document.write( "answers to a person who has never had a course in statistics.\r<BR>\n" );
document.write( "\n" );
document.write( "Sooo stuck!!!! Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215095 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=215095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that you are designing an instrument panel for a large industrial machine.<BR>\n" );
document.write( "The machine requires the person using it to reach 2 feet from a particular position.<BR>\n" );
document.write( "The reach from this position for adult women is known to have a mean of 2.8 feet<BR>\n" );
document.write( "with a standard deviation of .5. <BR>\n" );
document.write( "The reach for adult men is known to have a mean of 3.1 feet with a standard deviation of 0.6. <BR>\n" );
document.write( "Both women’s and men’s reach from this position is normally distributed. <BR>\n" );
document.write( "--------------------------------------------------------------<BR>\n" );
document.write( "Procedure:<BR>\n" );
document.write( "Draw a normal curve for the men and another for the women.<BR>\n" );
document.write( "Men's curve data:<BR>\n" );
document.write( "Put 3.1 in the middle and note that the std is 0.6<BR>\n" );
document.write( "z(2)= (2-3.1)/0.6 = -1.833333<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(Men's reach is less than 2) = P(z<=-1.8333) = 0.0334<BR>\n" );
document.write( "---------------------------------------------------------------------<BR>\n" );
document.write( "Women's curve data;<BR>\n" );
document.write( "Put 2.8 in the middle and note the std = 0.5\r<BR>\n" );
document.write( "\n" );
document.write( "z(2) = (2-2.8)/0.5 = -1.6<BR>\n" );
document.write( "P(women's reach is less than required) = P(z<-1.6) = 0.0548<BR>\n" );
document.write( "---------------------------------------- <BR>\n" );
document.write( "If this design is implemented, <BR>\n" );
document.write( "(a) what percentage of women will not be able to work on this instrument panel?<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(b) What percentage of men will not be able to work on this instrument panel?<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(c) Explain your answers to a person who has never had a course in statistics. <BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );