document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180792>Question 1180792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IF THE VARIANCE OF THE POPULATION IS 9, WHAT HAPPENS TO THE VARIANCE OF THE SAMPLING DISTRIBUTION OF THE MEANS OF SIZE 6 DRAWN FROM THE POPULATION? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811035 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=811035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The variance varies as the inverse of n<BR>\n" );
document.write( "so the variance of the the sampling distribution of size 6 is sigma^2/6 or here 9/6 or 1.5<BR>\n" );
document.write( "The SD of the first is 3<BR>\n" );
document.write( "The SD of the second is 3/sqrt(6)=(1/2)*sqrt(6)=1.225, which is the sqrt of the above 1.5 </SPAN>\n" );
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