document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183486>Question 1183486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average Intelligent Quotient (IQ) of the adult population is 100. A researcher believes the average IQ of adults is lower. A random sample of 5 adults are tested and scored.69,79,89,99,109 and standard deviation 15.81. Is there enough evidence to suggest the average IQ is lower? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813843 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=813843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming random and normal distribution <BR>\n" );
document.write( "this is a one-way one sample t-test<BR>\n" );
document.write( "t(0.975,df=4) with critical value of 2.132<BR>\n" );
document.write( "t=(xbar-mean)/s/sqrt(n)<BR>\n" );
document.write( "mean is 89<BR>\n" );
document.write( "t=(89-100)/15.81/sqrt(5)<BR>\n" );
document.write( "=11 sqrt(5)/15.81=1.56<BR>\n" );
document.write( "insufficient evidence to reject Ho, p-value is 0.097 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );