document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138237>Question 138237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Stan (U ROCK), I have a couple more I'm having trouble with. THANKS,\r<BR>\n" );
document.write( "\n" );
document.write( "T	   F	1.	If 40 samples, each of size n=21, were selected from a population of 22,493, we would expect the mean of the sample means and the population mean to be close but not exactly equal. \r<BR>\n" );
document.write( "\n" );
document.write( "T	   F	2.	A sample of union members was selected and their opinions regarding the proposed management union contract were recorded with 160 out of the 200 members favored the proposed contract. A 95 percent confidence interval for the population proportion ranged from 0. 74 and 0. 85. If the sample were larger, this interval would be larger (wider). \r<BR>\n" );
document.write( "\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 #100937 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=100937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> T	   F	1.	If 40 samples, each of size n=21, were selected from a population of 22,493, we would expect the mean of the sample means and the population mean to be close but not exactly equal.<BR>\n" );
document.write( "True because of the Central Limit Theorem.<BR>\n" );
document.write( "----------------------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "T	   F	2.	A sample of union members was selected and their opinions regarding the proposed management union contract were recorded with 160 out of the 200 members favored the proposed contract. A 95 percent confidence interval for the population proportion ranged from 0. 74 and 0. 85. If the sample were larger, this interval would be larger (wider). <BR>\n" );
document.write( "False: The interval would get narrower.<BR>\n" );
document.write( "Why?<BR>\n" );
document.write( "E = z*(s/sqrt(n))<BR>\n" );
document.write( "Since \"n\" is in the denominator, E gets smaller as n gets larger.<BR>\n" );
document.write( "Since the CI is (p-hat - E , p-hat +E) the interval gets smaller<BR>\n" );
document.write( "as E gets smaller, as n gets larger.<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );