document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106396>Question 1106396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that&#8203; women's heights are normally distributed with a mean given by mu equals 64.3 in &#956;=64.3 in&#8203;, and a standard deviation given by sigma equals 3.1 in &#963;=3.1 in.<BR>\n" );
document.write( "&#8203;(a) If 1 woman is randomly&#8203; selected, find the probability that her height is less than 65 in.<BR>\n" );
document.write( "&#8203;(b) If 50 women are randomly&#8203; selected, find the probability that they have a mean height less than 6565 in. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721357 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z< (65-64.3)/3.1=z < +0.23<BR>\n" );
document.write( "that probability is 0.5893\r<BR>\n" );
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document.write( "The second one is divided by the standard error, which is 3.1/sqrt(50)<BR>\n" );
document.write( "That quotient is 0.438<BR>\n" );
document.write( "z < 0.7/0.4380 <1.60<BR>\n" );
document.write( "That probability is 0.9450; much less likely to find an average >65. </SPAN>\n" );
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