document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=726133>Question 726133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A vending machine dispenses coffee into an eight-ounce cup.  The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.02 ounce.  You can allow the cup to overfill 3% of the time.  What amount should you set as the mean amount of coffee to be dispensed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444528 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A vending machine dispenses coffee into an eight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.02 ounce. You can allow the cup to overfill 3% of the time. What amount should you set as the mean amount of coffee to be dispensed?<BR>\n" );
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document.write( "Find the z-value with a right-tail of 3%<BR>\n" );
document.write( "invNorm(0.97) = 1.8808<BR>\n" );
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document.write( "Find the corresponding cup-fill values:<BR>\n" );
document.write( "x = z*s+u<BR>\n" );
document.write( "x = 1.8808*0.02 + 8<BR>\n" );
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document.write( "x = 8.04 ounces<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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