document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172027>Question 1172027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lecturer in a university would like to estimate the average length of time students need to do revision for a course in a week. The lecturer claims that the students allocate six hours per week for revision. To determine whether the claim is true, a study is done on 16 students and the average revision time is found to be 5 hours with a standard deviation of 2.3 hours. Is the lecturer’s claim true? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796989 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=796989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: time is 6<BR>\n" );
document.write( "Ha: time is not 6<BR>\n" );
document.write( "alpha can be set for 0.05, although other values could be used p{reject Ho|Ho true}<BR>\n" );
document.write( "test statistic is a t (0.975, df=15)<BR>\n" );
document.write( "critical value is |t| > 2.131<BR>\n" );
document.write( "t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=-1*sqrt(16)/2.3<BR>\n" );
document.write( "=-1.74, the absolute value of which is not > 2.131<BR>\n" );
document.write( "Fail to reject Ho at the 5% level; insufficient evidence to show that the true value is not 6 hours.<BR>\n" );
document.write( "p-value= 0.10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );