document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481060>Question 481060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain population has a mean of 500 and a standard deviation of 30.  Many samples of size 36 are randomly selected and the means are calculated.\r<BR>\n" );
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document.write( "What value would you expect to find for the mean of all these samples means?    (round to the nearest integer)\r<BR>\n" );
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document.write( "What value would you expect to find for the standard deviation of all these sample means?    (round to the nearest integer)\r<BR>\n" );
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document.write( "True of False, you would expect the shape of the sampling distribution to be approximately normal   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329424 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=329424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A certain population has a mean of 500 and a standard deviation of 30. <BR>\n" );
document.write( "Many samples of size 36 are randomly selected and the means are calculated. <BR>\n" );
document.write( "What value would you expect to find for the mean of all these samples means?<BR>\n" );
document.write( "Ans: The mean of the sample means = the mean of the population<BR>\n" );
document.write( "Ans: 500<BR>\n" );
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document.write( "What value would you expect to find for the standard deviation of all these sample means? <BR>\n" );
document.write( "Ans: 30/sqrt(36) = 30/6 = 5<BR>\n" );
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document.write( "True of False, you would expect the shape of the sampling distribution to be approximately normal<BR>\n" );
document.write( "True.<BR>\n" );
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document.write( "All of these answers are provided by the Central Limit Theorem.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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