document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136572>Question 1136572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) A population has a mean of μ = 50 and a standard deviation of σ= 12.<BR>\n" );
document.write( "For samples of size n = 16, what is<BR>\n" );
document.write( " the mean (expected value) and<BR>\n" );
document.write( " the standard deviation (standard error) for the distribution of sample means?\r<BR>\n" );
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document.write( "I found the standard deviation (standard error) = 3 <BR>\n" );
document.write( "but for the mean would it just be 50?\r<BR>\n" );
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document.write( "Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754375 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe so.\r<BR>\n" );
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document.write( "standard error = 12 / sqrt(16) = 12 / 4 = 3.\r<BR>\n" );
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document.write( "the average of all sample means is expected to be the population mean.\r<BR>\n" );
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document.write( "here's a reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.stat.yale.edu/Courses/1997-98/101/sampmn.htm\" target = \"_blank\">http://www.stat.yale.edu/Courses/1997-98/101/sampmn.htm</a> </SPAN>\n" );
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