document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128414>Question 1128414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8.6 cm.\r<BR>\n" );
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document.write( "a. Find the probability that an individual distance is greater than <BR>\n" );
document.write( "210.00cm.<BR>\n" );
document.write( "b. Find the probability that the mean for 20 randomly selected distances is greater than 196.00 cm.\r<BR>\n" );
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document.write( "A. 0.0735 I got this one.<BR>\n" );
document.write( "B. Need help with this and please show work so I can understand. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744874 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=744874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z>(210-197.5)/8.6 or z>1.45 <BR>\n" );
document.write( "That probability is 0.0735\r<BR>\n" );
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document.write( "For 20, the denominator is sigma/sqrt(n)  That is 8.6/sqrt(20)<BR>\n" );
document.write( "that would be 1.92, the z value is >-1.5/1.92 or >-0.78 <BR>\n" );
document.write( "The -1.5 is for 196-197.5 and that is divided by the 1.92<BR>\n" );
document.write( "The probability is 0.7823  </SPAN>\n" );
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