document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192207>Question 1192207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A language proficiency test was given to 55 Liberal Arts and 49 Business Administration<BR>\n" );
document.write( "freshmen. The Liberal Arts students got a mean score of 78 with a standard deviation of 11. The<BR>\n" );
document.write( "Business Administration students got a mean score of 82 with a standard deviation of 12. Is there<BR>\n" );
document.write( "a reason to believe that there is significant difference in the performance of the two groups of<BR>\n" );
document.write( "students? Use α = 0.05. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824157 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=824157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a 2 sample t-tesst<BR>\n" );
document.write( "assuming randomness and that the sd of the sample is unbiased estimator of the population.<BR>\n" );
document.write( "alpha=0.05 p{reject Ho|Ho true}<BR>\n" );
document.write( "test stat is a t(0.975, df=102)<BR>\n" );
document.write( "critical value is |t|>2.00<BR>\n" );
document.write( "calculation is t=(78-82)/sqrt(11^2/55+12^2/49)<BR>\n" );
document.write( "=-4/2.27<BR>\n" );
document.write( "t=-1.76, p-value = 0.08<BR>\n" );
document.write( "fail to reject Ho at the 5% level. Insufficient evidence to say that there is a difference.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );