document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192316>Question 1192316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> samples of size 81 are taken from a population of size 500 with mean 10 and standard deviation is 3 find standard deviation of sample means? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849049 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Identify the given values:**\r<BR>\n" );
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document.write( "* Population standard deviation (σ): 3<BR>\n" );
document.write( "* Sample size (n): 81\r<BR>\n" );
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document.write( "**2. Calculate the standard deviation of the sample means (standard error of the mean):**\r<BR>\n" );
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document.write( "* Standard error of the mean (σ_x̄) = σ / √n\r<BR>\n" );
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document.write( "* σ_x̄ = 3 / √81 <BR>\n" );
document.write( "* σ_x̄ = 3 / 9<BR>\n" );
document.write( "* σ_x̄ = 1/3 <BR>\n" );
document.write( "* σ_x̄ = 0.3333\r<BR>\n" );
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document.write( "**Therefore, the standard deviation of the sample means is 0.3333.**<BR>\n" );
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