document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064321>Question 1064321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that&#8203; women's heights are normally distributed with a mean given by mu equals 62.4 in, and a standard deviation given by sigma equals 1.8 in.\r<BR>\n" );
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document.write( "&#8203;(a) If 1 woman is randomly&#8203; selected, find the probability that her height is less than 63 in.\r<BR>\n" );
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document.write( "&#8203;(b) If 30 women are randomly&#8203; selected, find the probability that they have a mean height less than 63 in.\r<BR>\n" );
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document.write( "&#8203;(&#8203;a)The probability is approximately . 6293<BR>\n" );
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document.write( "&#8203;(Round to four decimal places as&#8203; needed.)<BR>\n" );
document.write( "&#8203;(b) The probability is approximately <BR>\n" );
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document.write( "I have (A) I need help with Part B.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679362 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=679362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that&#8203; women's heights are normally distributed with a mean given by mu equals 62.4 in, and a standard deviation given by sigma equals 1.8 in. <BR>\n" );
document.write( "&#8203;(a) If 1 woman is randomly&#8203; selected, find the probability that her height is less than 63 in. <BR>\n" );
document.write( "&#8203;(b) If 30 women are randomly&#8203; selected, find the probability that they have a mean height less than 63 in.<BR>\n" );
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document.write( "For samples of size 30 the standard deviation becomes 1.8/sqrt(30).<BR>\n" );
document.write( "z(63) = (63-62.4)/(1.8/sqrt(30)) = 1.8257<BR>\n" );
document.write( "P(x-bar< 63) = P(z < 1.8257) = normalcdf(-100,1.8257) = 0.9661<BR>\n" );
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document.write( "a)The probability is approximately  0.6293<BR>\n" );
document.write( "(b) The probability is approximately 0.9661<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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