document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011627>Question 1011627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Con somebody help?\r<BR>\n" );
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document.write( "A survey found that&#8203; women's heights are normally distributed with mean 63.6 in and standard deviation 2.3 in. A branch of the military requires&#8203; women's heights to be between 58 in and 80 in.\r<BR>\n" );
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document.write( "a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too&#8203; tall?\r<BR>\n" );
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document.write( "b. If this branch of the military changes the height requirements so that all women are eligible except the shortest&#8203; 1% and the tallest&#8203; 2%, what are the new height&#8203; requirements?\r<BR>\n" );
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document.write( "a. The percentage of women who meet the height requirement is <BR>\n" );
document.write( "&#8203;(Round to two decimal places as&#8203; needed.)\r<BR>\n" );
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document.write( "Are many women being denied the opportunity to join this branch of the military because they are too short or too&#8203; tall?\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "&#8203;No, because the percentage of women who meet the height requirement is fairly small.<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "&#8203;Yes, because the percentage of women who meet the height requirement is fairly large.<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "&#8203;Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.<BR>\n" );
document.write( "D.<BR>\n" );
document.write( "&#8203;No, because only a small percentage of women are not allowed to join this branch of the military because of their height.\r<BR>\n" );
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document.write( "b. For the new height&#8203; requirements, this branch of the military requires&#8203; women's heights to be at least ___ in and at most ___ in.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.) <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627350 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=627350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey found that&#8203; women's heights are normally distributed with mean 63.6 in and standard deviation 2.3 in. A branch of the military requires&#8203; women's heights to be between 58 in and 80 in. <BR>\n" );
document.write( "a. Find the percentage of women meeting the height requirement. <BR>\n" );
document.write( "Using the z-scores you would get normalcdf(58,80,63.6,2.3) = 99.26%<BR>\n" );
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document.write( "Are many women being denied the opportunity to join this branch of the military because they are too short or too&#8203; tall?:: No.<BR>\n" );
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document.write( "b. If this branch of the military changes the height requirements so that all women are eligible except the shortest&#8203; 1% and the tallest&#8203; 2%, what are the new height&#8203; requirements?<BR>\n" );
document.write( "invNorm(0.01) = -2.3265 ; invNorm(0.98) = 2.0538<BR>\n" );
document.write( "Lower: x = -2.3265*2.3 + 63.6 <BR>\n" );
document.write( "Upper: x = +2.0538*2.3 + 63.6 \r<BR>\n" );
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document.write( "a. The percentage of women who meet the height requirement is <BR>\n" );
document.write( "&#8203;Comment: You just eliminated 1% of the shortes and 2% of the tallest.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Are many women being denied the opportunity to join this branch of the military because they are too short or too&#8203; tall? <BR>\n" );
document.write( "A.<BR>\n" );
document.write( "&#8203;No, because the percentage of women who meet the height requirement is fairly small.<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "&#8203;Yes, because the percentage of women who meet the height requirement is fairly large.<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "&#8203;Yes, because a large percentage of women are not allowed to join this branch of the military because of their height.<BR>\n" );
document.write( "D.<BR>\n" );
document.write( "&#8203;No, because only a small percentage of women are not allowed to join this branch of the military because of their height. <BR>\n" );
document.write( "b. For the new height&#8203; requirements, this branch of the military requires&#8203; women's heights to be at least given above in and at most given above in.<BR>\n" );
document.write( "&#8203;(Round to one decimal place as&#8203; needed.)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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