document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080747>Question 1080747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Suppose that a population consists of the following families living on Melbourne Crescent.  The number of children in each of these 6 families is shown in the table below.      10 MARKS\r<BR>\n" );
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document.write( "Name of Family Living on Melbourne Crescent	Number of children<BR>\n" );
document.write( "Lyu	                                                1<BR>\n" );
document.write( "Sylvestri	                                        2<BR>\n" );
document.write( "Ali	                                                3<BR>\n" );
document.write( "Johnson                                            	4<BR>\n" );
document.write( "Mensah	                                                5<BR>\n" );
document.write( "Mesic	                                                4\r<BR>\n" );
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document.write( "a.	  If all possible samples of size 2 are selected, how many different samples are possible? __________\r<BR>\n" );
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document.write( "b.	  List all possible samples of size 2 and compute the mean of each sample. (2 marks)\r<BR>\n" );
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document.write( "c.	  Organize the sample means into a sampling distribution of the sample mean. (2 marks)\r<BR>\n" );
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document.write( "d.	  The mean number of children in the population equals _______________.  <BR>\n" );
document.write( "e.	  The mean of the distribution of sample means is equal to _____________.<BR>\n" );
document.write( "f.	  Graph the relative frequency distribution for the population and for the sample means.  (2 marks)\r<BR>\n" );
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document.write( "g.	  Compare the spread of the sampling distribution with the spread of the population. Which distribution has more variability?<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 #694867 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=694867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that a population consists of the following families living on Melbourne Crescent.  The number of children in each of these 6 families is shown in the table below.      10 MARKS\r<BR>\n" );
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document.write( "Name of Family Living on Melbourne Crescent	Number of children<BR>\n" );
document.write( "Lyu	                                                1<BR>\n" );
document.write( "Sylvestri	                                        2<BR>\n" );
document.write( "Ali	                                                3<BR>\n" );
document.write( "Johnson                                            	4<BR>\n" );
document.write( "Mensah	                                                5<BR>\n" );
document.write( "Mesic	                                                4\r<BR>\n" );
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document.write( "a.	  If all possible samples of size 2 are selected, how many different samples are possible? 6C2 = (6*5)/(1*2) = 15<BR>\n" );
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document.write( "b.	  List all possible samples of size 2 and compute the mean of each sample. (2 marks)<BR>\n" );
document.write( "Example of what to do to all 15 2-element samples::<BR>\n" );
document.write( "Sample:: (1,3)---- mean = 2<BR>\n" );
document.write( "Sample:: (1,4)---- mean = 2.5<BR>\n" );
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document.write( "c.	  Organize the sample means into a sampling distribution of the sample mean. (2 marks)<BR>\n" );
document.write( "List the 15 means you come up with.<BR>\n" );
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document.write( "d.	  The mean number of children in the population equals <BR>\n" );
document.write( "Find the mean of the set of 15 means (add them and divide by 15)<BR>\n" );
document.write( "_______________.  <BR>\n" );
document.write( "e.	  The mean of the distribution of sample means is equal to _____________.<BR>\n" );
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document.write( "f.	  Graph the relative frequency distribution for the population and for the sample means.  (2 marks)<BR>\n" );
document.write( "List the 15 means from lowest to highest.<BR>\n" );
document.write( "List the # of times you have a given mean value (This should add up to 15)<BR>\n" );
document.write( "List these frequencies from lowest to highest.<BR>\n" );
document.write( "Convert each of the frequencies to a relative frequence by dividing by 15<BR>\n" );
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document.write( "g.	  Compare the spread of the sampling distribution with the spread of the population. Which distribution has more variability?<BR>\n" );
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document.write( "The spread of the population is greater than<BR>\n" );
document.write( "the spread of the sampling distribution. <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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