document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076060>Question 1076060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company uses a modern machine to fill packets of biscuits. a sample of 40 packets had an average weight of 1.35 kg and a standard deviation of 0.1 kg. The machine is set to fill an average weight of 1.5 kg. Is there sufficient evidence to suggest that the machine is under filling\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 #690827 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=690827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:weight is 1.50 <BR>\n" );
document.write( "Ha:weight is not 1.50.  Will use 2-tailed test.<BR>\n" );
document.write( "alpha=0.05; P{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is t df=39 0.975<BR>\n" );
document.write( "critical value is |t|>2.023<BR>\n" );
document.write( "t=(1.35-1.50)/0.1/sqrt(40)<BR>\n" );
document.write( "=-0.15*sqrt(40)/0.1<BR>\n" );
document.write( "=-9.49<BR>\n" );
document.write( "Strongly reject Ho with p-value <<0.0001, there is sufficient evidence that the machine is underfilling. </SPAN>\n" );
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