document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159718>Question 1159718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	The commercial manager of a radio station wants to determine whether the mean length of commercials on her station is equal to 24 seconds.  A sample of 41 commercials had a mean life of 26.20 seconds.  The standard deviation of all commercials at this station is 7.29 seconds. <BR>\n" );
document.write( "Assuming the population distribution of commercials to be normal: \r<BR>\n" );
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document.write( "(a) Find the value of the test statistic, rounded to two decimal places?  <BR>\n" );
document.write( "(b) Would you reject the null hypothesis in this test, using a significance level of 1%? <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 #783028 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=783028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 way test<BR>\n" );
document.write( "test statistic is a t(0.995, df=40), with critical value 2.704, (reject Ho if |t|>2.704)<BR>\n" );
document.write( "t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=(26.20-24)/7.29/sqrt(41)<BR>\n" );
document.write( "t=1.93<BR>\n" );
document.write( "fail to reject Ho, p-value is 0.06 </SPAN>\n" );
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