document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079472>Question 1079472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The weighs of some components are normally distributed with mean 12.98g and standard deviation 0.13g. Calculate the probability that a random sample of 15 of these components will have a mean weight be greater than 13g </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693768 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=693768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z> (13-12.98)/0.13)/sqrt (15)<BR>\n" );
document.write( "z>0.02* sqrt (15)/0.13=0.5958, which makes sense, since it is just slightly larger than the mean.<BR>\n" );
document.write( "probability is 0.2742, using 0.60.<BR>\n" );
document.write( "The std error of the sample mean has the same mean but the sd is the original sd/sqrt(n)<BR>\n" );
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