document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158338>Question 1158338</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A cola-dispensing machine is set to dispense 500 milliliters, ml, of cola per cup.   A sample of 20 cups revealed they amount was 482 ml with a sample standard deviation of 40 ml.  At the .02 significance level, do these sample data suggest there is a difference? <BR>\n" );
document.write( "a. Which distribution will you use?<BR>\n" );
document.write( "b. State the hypotheses. <BR>\n" );
document.write( "c.  Find the critical value(s)<BR>\n" );
document.write( "d. Compute the test statistic. <BR>\n" );
document.write( "e. Given c and d, state your decision  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781342 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=781342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume normal distribution with sd of sample being estimate of sd of population<BR>\n" );
document.write( "Ho: mean=500 ml<BR>\n" );
document.write( "Ha: mean is not 500 ml<BR>\n" );
document.write( "alpha=0.02 p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t (0.99, df=19)<BR>\n" );
document.write( "critical value |t|>2.539<BR>\n" );
document.write( "calculation is t=(x bar- mean)/s/sqrt(n)<BR>\n" );
document.write( "=-18* sqrt(20)/40<BR>\n" );
document.write( "=-2.01<BR>\n" );
document.write( "fail to reject Ho: insufficient evidence to say that there is a difference of dispensing from 500 ml at the 0.02 level </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );