document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318891>Question 318891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A production filling operation has a population standard deviation of 6 ounces. When in proper adjustment, the mean filling weight for the production process is 50 ounces. A quality control inspector selects a random sample of 36 containers and finds that the mean weight is 48.6 ounces.  Does the process need adjustment?  Why?  Find the p-value.  (Hint:  the process will need adjustment if the mean weight is either significantly above or below 50 ounces) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228546 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=228546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A production filling operation has a population standard deviation of 6 ounces.<BR>\n" );
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document.write( "When in proper adjustment, the mean filling weight for the production process is 50 ounces. <BR>\n" );
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document.write( "A quality control inspector selects a random sample of 36 containers and finds that the mean weight is 48.6 ounces. <BR>\n" );
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document.write( "Does the process need adjustment? Why? Find the p-value. (Hint: the process will need adjustment if the mean weight is either significantly above or below 50 ounces)<BR>\n" );
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document.write( "Ho: u = 50 ounces<BR>\n" );
document.write( "Ha: u is not equal to 50 ounces<BR>\n" );
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document.write( "x-bar = 48.6 ounces<BR>\n" );
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document.write( "t(48.6) = (48.6-50)/[6/sqrt(36)] = -1.4<BR>\n" );
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document.write( "p-value = 2*P(t< -1.4 when df = 35) = 0.1703<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "The mean of the production process is statistically equal to 50;<BR>\n" );
document.write( "it does not need adjustment.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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