document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153704>Question 1153704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose certain coins have weights that are normally distributed with a mean of 5.661 g and a standard deviation of 0.057 g. A vending machine is configured to accept those coins with weights between 5.551 g and 5.771 g.\r<BR>\n" );
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document.write( "According to the certain limit theorem, the distribution of sample means x will have a mean given by u_x=u and a standard deviation given by o_x=o/sqrt n.\r<BR>\n" );
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document.write( "What is the mean of the distribution of sample means x? u_x=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775972 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean of the sampling distribution is 5.661 gm, the mean of the original distribution.  The SD will change, not the mean. </SPAN>\n" );
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