document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180685>Question 1180685</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roll a fair die five times. List the results and take all random samples of size n = 3.<BR>\n" );
document.write( "Calculate the population mean, population variance, and population standard<BR>\n" );
document.write( "deviation. Illustrate the sampling distributions of the sample means and sample<BR>\n" );
document.write( "variances and standard deviations.\r<BR>\n" );
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document.write( "Peace... I just want to know how to do it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810488 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the population <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Population mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=%281%2B2%2B3%2B4%2B5%2B6%29%2F6=21%2F6=3.5 ALIGN=MIDDLE  ALT=\"mu=%281%2B2%2B3%2B4%2B5%2B6%29%2F6=21%2F6=3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Population variance\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28%281-3.5%29%5E2%2B%282-3.5%29%5E2%2B%283-3.5%29%5E2%2B%284-3.5%29%5E2%2B%285-3.5%29%5E2%2B%286-3.5%29%5E2%29%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286.25%2B2.25%2B0.25%2B0.25%2B2.25%2B6.25%29%2F6 ALIGN=MIDDLE  ALT=\"%286.25%2B2.25%2B0.25%2B0.25%2B2.25%2B6.25%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.91 ALIGN=MIDDLE  ALT=\"2.91\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Standard deviation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=delta=sqrt%282.91%29=1.70 ALIGN=MIDDLE  ALT=\"delta=sqrt%282.91%29=1.70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, size of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is taken from the sample => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C3=10+ ALIGN=MIDDLE  ALT=\"5C3=10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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