document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831390>Question 831390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bottling station in Plant A of a fizzy drinks company fills cans with nominal value of 330 ml. Five days before the annual maintenance of the machinery, a sample of 16 cans is take and the value of the liquid measured. At the 5% level of significance, test whether the bottling process is carried out accurately or whether the filling machinery needs calibration. Use both critical and the p-value approaches. Data for Plant A\r<BR>\n" );
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document.write( "Plant A : 333,332,320,326,328,325,323,321,334,322,320,329,330,328,331,330 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #501338 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=501338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bottling station in Plant A of a fizzy drinks company fills cans with nominal value of 330 ml. Five days before the annual maintenance of the machinery, a sample of 16 cans is take and the value of the liquid measured. At the 5% level of significance, test whether the bottling process is carried out accurately or whether the filling machinery needs calibration. Use both critical and the p-value approaches. Data for Plant A <BR>\n" );
document.write( "Plant A : 333,332,320,326,328,325,323,321,334,322,320,329,330,328,331,330<BR>\n" );
document.write( "x-bar = 327<BR>\n" );
document.write( "std = 4.6904<BR>\n" );
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document.write( "Ho: u = 330<BR>\n" );
document.write( "Ha: u # 330<BR>\n" );
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document.write( "t(327) = (327-330)/[4.6904/sqrt(16)] = 2.5584<BR>\n" );
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document.write( "p-value = 2*P(t > 2.5584 when df = 15) = 0.0218<BR>\n" );
document.write( "Since the p-value is less that 5% reject Ho.<BR>\n" );
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document.write( "Critical value for 2-tail test with alpha = 5% and df = 15 : t = +-2.1314 <BR>\n" );
document.write( "Since 2.5584 is in the reject interval, reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan h.<BR>\n" );
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