document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195846>Question 1195846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average length of time for students to register in the second semester at a certain university has been 55 minutes. A new registration procedure is being tested. If a random sample of 36 students have an average of 50 minutes with standard deviation of 12 minutes under the system, can you conclude that the new system is better is faster the old one? (Use 5% level of significance)\r<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 #828432 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=828432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume normality, random sampling, and sd of sample is unbiased estimator of sd population.<BR>\n" );
document.write( "Ho: mu new=mu old<BR>\n" );
document.write( "Ha: mu new NE mu old<BR>\n" );
document.write( "alpha=0.05 p(reject Ho|Ho true}<BR>\n" );
document.write( "test is a t(0.975, df=35)<BR>\n" );
document.write( "critical value is |t|> 2.031<BR>\n" );
document.write( "t=(50-55)/12/sqrt(36)<BR>\n" );
document.write( "=-5*6/12<BR>\n" );
document.write( "=-2.5<BR>\n" );
document.write( "reject Ho; the evidence supports that the new system is faster than the old one. p-value=0.017. </SPAN>\n" );
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