document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182429>Question 1182429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. A manufacturer packs sugar into plastic bags .  Each bag is to hold 5 kgs whenever the production is under control.  At one period, a sample of 17 bags was taken to check the process and was to found to weigh 5.6 kgs with SD of 0.75 kgs.  Is the manufacturing process under control?  Use 𝛼=0.01\r<BR>\n" );
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document.write( "Thanks in advance!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812468 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=812468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a 2-way t-test, t=0.995, df=16<BR>\n" );
document.write( "critical value is |t| < 2.947<BR>\n" );
document.write( "t=( x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=(5.6-5)*sqrt(17)/0.75<BR>\n" );
document.write( "=3.298<BR>\n" );
document.write( "This value is greater than the critical value, so reject Ho and the process is not in control with the parameters desired.<BR>\n" );
document.write( "p-value=0.0045<BR>\n" );
document.write( "Notice that the p-value is < 0.01, which is another way to say Ho is rejected.\r<BR>\n" );
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