document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129971>Question 1129971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local university claims that if you enroll in their university you will have your degree completed within 4.5 years. To test this a sample of 81 graduates was taken. The sample yielded an average of 4.75 years with a standard deviation of 1.2 years. \r<BR>\n" );
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document.write( "a. Set up the Hypothesis to test this University’s Claim at a level of significance of .05. (&#945;=.05) \r<BR>\n" );
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document.write( "b. What is the Test Statistic and Critical Value for the above problem? <BR>\n" );
document.write( "What is the P-value for the above problem? \r<BR>\n" );
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document.write( "c. Would you reject the Null Hypothesis based on information obtained in part b.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746606 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=746606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: time=4.5 years<BR>\n" );
document.write( "Ha: time NE 4.5 years<BR>\n" );
document.write( "alpha=0.05 P{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t df=80  with critical value |t|>1.99<BR>\n" );
document.write( "t=(4.75-4.5)/1.2/sqrt(81)<BR>\n" );
document.write( "=0.25*9/1.2<BR>\n" );
document.write( "=1.875<BR>\n" );
document.write( "Fail to reject with p-value = 0.064<BR>\n" );
document.write( "Insufficient evidence to reject Ho. </SPAN>\n" );
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