document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140729>Question 1140729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a normal population with a mean of 50 and standard deviation of 2. A random sample of size 4 is selected from the population. Find the probability that the sample mean is between 49.1 and 50.15. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761448 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=761448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x bar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "so z1=-0.9/2/sqrt(4)=-0.9*2/2=-0.9 (invert the denominator and multiply, although it doesn't matter here)<BR>\n" );
document.write( "z2=0.15*2/2=0.15<BR>\n" );
document.write( "That probability, z between -0.9 and +0.15, is 0.3756 </SPAN>\n" );
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