document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283898>Question 283898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A population consists of the following five values: 2,2,4,4,and 8.\r<BR>\n" );
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document.write( "a. list all samples of size 2, and compute the mean of each sample.<BR>\n" );
document.write( "b. Compute the mean of the disbribution of sample means and the population mean. compare the two values.<BR>\n" );
document.write( "c. Compare the dispersion in the population with that of the sample mean.\r<BR>\n" );
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document.write( "This chapter of my homework was not explained to me. I don't know where to start. I understand the mean and population formula, but I don't understand how to put it all together. If you can help, that would be great.\r<BR>\n" );
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document.write( "Thank you.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206048 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A population consists of the following five values: 2,2,4,4,and 8. <BR>\n" );
document.write( "a. list all samples of size 2, and compute the mean of each sample.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Using the 1st \"2\":<BR>\n" );
document.write( "2,2: mean = 2<BR>\n" );
document.write( "2,4: mean = 3<BR>\n" );
document.write( "2,4: mean = 3<BR>\n" );
document.write( "2,8: mean = 5<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Using the 2nd \"2\":<BR>\n" );
document.write( "2,2: mean = 2<BR>\n" );
document.write( "2,4: mean = 3<BR>\n" );
document.write( "2,4: mean = 3<BR>\n" );
document.write( "2,8: mean = 5<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Using the 1st \"4\":<BR>\n" );
document.write( "4,2: = 3<BR>\n" );
document.write( "4,2: = 38,2<BR>\n" );
document.write( "4,4: = 4<BR>\n" );
document.write( "4,8: = 6<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Using the 2nd \"4:<BR>\n" );
document.write( "4,2: = 3<BR>\n" );
document.write( "4,2: = 3<BR>\n" );
document.write( "4,4: = 4<BR>\n" );
document.write( "4,8: = 6<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Using the \"8\":<BR>\n" );
document.write( "8,2: = 5<BR>\n" );
document.write( "8,2: = 5<BR>\n" );
document.write( "8,4: = 6<BR>\n" );
document.write( "8,4: = 6<BR>\n" );
document.write( "----------------------------\r<BR>\n" );
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document.write( "b. Compute the mean of the disbribution of sample means <BR>\n" );
document.write( "Find the mean of {2,3,3,5,2,3,3,5,3,3,4,6,3,3,4,6,5,5,6,6} <BR>\n" );
document.write( "= (13+13+16+16+22)/20 = (26+32+22)/20 = 80/20 = 4<BR>\n" );
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document.write( "compute the population mean<BR>\n" );
document.write( "Find the mean of {2,2,4,4,and 8} = 20/5 = 4<BR>\n" );
document.write( ". compare the two values.<BR>\n" );
document.write( "The mean of the sample means is the same as the mean of the population.<BR>\n" );
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document.write( "c. Compare the dispersion in the population with that of the sample mean.<BR>\n" );
document.write( "Range of the population is 8-2 = 6<BR>\n" );
document.write( "Range of the sample means is 6-2 = 4<BR>\n" );
document.write( "The sample means are less dispersed than the population.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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