document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036402>Question 1036402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a random sample of 800 refreshment-dispensing machines, it is found that an average of 8.1 ounces is dispensed with a standard deviation of 0.85 ounce.\r<BR>\n" );
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document.write( "Find the probability that the true mean is between 8.157 and 8.185. Round your answer to the tenths place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651159 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=651159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z(a)=(8.157-8.1)*sqrt(800)/0.85.  Using z-value with sample size of 800.  Dividing the denominator by the sample size is the same as multiplying it in the numerator.<BR>\n" );
document.write( "z=1.89<BR>\n" );
document.write( "z(b)=(8.185-8.1)*sqrt(800)/0.85<BR>\n" );
document.write( "z=2.83<BR>\n" );
document.write( "The probability is 2.7% (the distance between those two z-values.<BR>\n" );
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