document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934902>Question 934902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The manufacturer of a coffee dispensing machine claims that the ounces per cup has a distribution with mean (mu) 8 ounces and standard deviation (sigma) 0.7 ounce. If 39 cups of coffee are measured, what is the probability that the average ounces per cup (x bar) is more than 8.2 ounces? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567942 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=567942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The manufacturer of a coffee dispensing machine claims that the ounces per cup has a distribution with mean (mu) 8 ounces and standard deviation (sigma) 0.7 ounce. If 39 cups of coffee are measured, what is the probability that the average ounces per cup (x bar) is more than 8.2 ounces?<BR>\n" );
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document.write( "z(8.2) = (8.2-8)/(0.7/sqrt(39)) = 1.7843<BR>\n" );
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document.write( "P(x-bar > 8.2) = P(z > 1.7843) = normalcdf(1.7843,100) = 0.0372<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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