document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973888>Question 973888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A certain population has a mean of 529 and a standard deviation of 29.7. Many samples of size 36 are randomly selected and means calculated.\r<BR>\n" );
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document.write( "What value would you expect to find for the mean of all these sample means?<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 #595949 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=595949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean of the sampling distribution for size 36 should be 529, the same as the population.  It will have a standard deviation smaller than the population by a factor of the square root of 36.  \r<BR>\n" );
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document.write( "The expected value of the mean of the samples will be 529; in reality, the means will all cluster closely around 529. </SPAN>\n" );
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