document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564035>Question 564035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello can you please assist me in answering this question.\r<BR>\n" );
document.write( "\n" );
document.write( "Men's heights are normally distributed with mean 59.0 and standard eviation 2.8in.\r<BR>\n" );
document.write( "\n" );
document.write( "Question: Marine Corps heigt requirement for men.  The US Marine Corps requires that men have heights between 64 in. and 80 in.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) Find the percentage of men who meet the height requirements. Are many men denied the opportunity to become a Marine because they do not satisfy the height requirement.\r<BR>\n" );
document.write( "\n" );
document.write( "(b) If the height requirements are changed so that all men are eligible except the shortest 3% and the tallest 4%, what are the new height requirements? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365187 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=365187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Men's heights are normally distributed with <BR>\n" );
document.write( "mean 59.0 and standard deviation 2.8in.<BR>\n" );
document.write( "--------------------------------------------- <BR>\n" );
document.write( "Question: Marine Corps height requirement for men. The US Marine Corps requires that men have heights between 64 in. and 80 in.<BR>\n" );
document.write( "--------------------------------------------- <BR>\n" );
document.write( "(a) Find the percentage of men who meet the height requirements. <BR>\n" );
document.write( "z(64) = (64-59)/2.8 = 1.7857<BR>\n" );
document.write( "z(80) = (80-59)/2.8 = 7.5<BR>\n" );
document.write( "P(64 <= x <= 80) = P(1.78457<= z <=7.5) = 0.0371 = 3.71%<BR>\n" );
document.write( "--------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Are many men denied the opportunity to become a Marine because they do not satisfy the height requirement.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since less than 4% meet the height requirements many men must be denied<BR>\n" );
document.write( "entrance.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " <BR>\n" );
document.write( "(b) If the height requirements are changed so that all men are eligible except the shortest 3% and the tallest 4%, what are the new height requirements?<BR>\n" );
document.write( "Find the z-value with a 3% left tail: invNorm(0.03) = -1.88<BR>\n" );
document.write( "Newer lower requirement would be -1.88*2.8 + 59 = 53.73 inches<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Find the z-value with a left tail of 96%: invNorm(0.96) = 1.75<BR>\n" );
document.write( "Newer upper requirement would be 1.75*2.8 + 59 = 63.90 inches\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );