document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037876>Question 1037876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample is chosen randomly from a population that can be described by a Normal model. <BR>\n" );
document.write( "1) What's the sampling distribution model for the sample mean? <BR>\n" );
document.write( "2) Describe the shape, center and spread of the model you identified in #1. <BR>\n" );
document.write( "3) If we choose a larger sample, what is the effect on the sampling distribution model<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 #652523 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=652523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distribution of the sample will also be normal, with a \"compressed\" shape compared to the population model, depending upon the sample size.<BR>\n" );
document.write( "Its mean will be the mean of the population.<BR>\n" );
document.write( "Its standard deviation is s/sqrt (n), the sample taken, so the variance is s^2/n.<BR>\n" );
document.write( "If a larger sample is taken, the variance will decrease with the square root of the sample size.  The center will not change. </SPAN>\n" );
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