document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082995>Question 1082995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A process is in control when the average amount of instant coffee that is packed in a jar, is 6 oz. The standard deviation is 0.2 oz. A sample of 100 jars is selected at random and the sample average is found to be 6.1 oz. Is this process out of control? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696969 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=696969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: mean is 6<BR>\n" );
document.write( "Ha:mean isn't 6<BR>\n" );
document.write( "alpha=0.05 P{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t df=99, 0.975 with critical value |t|>1.964<BR>\n" );
document.write( "t=(6.1-6.0)/0.2/sqrt(100)<BR>\n" );
document.write( "=0.1*sqrt(100)/0.2=1/.2=5<BR>\n" );
document.write( "reject Ho, p-value is <0.0001<BR>\n" );
document.write( "the process is out of control. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );