document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157128>Question 1157128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results of randomly selected patients are shown in the table below. A lower score indicates less pain. Can we conclude that the hypnotism is effective in reducing the pain?<BR>\n" );
document.write( "Patient<BR>\n" );
document.write( "1<BR>\n" );
document.write( "2<BR>\n" );
document.write( "3<BR>\n" );
document.write( "4<BR>\n" );
document.write( "5<BR>\n" );
document.write( "6<BR>\n" );
document.write( "7<BR>\n" );
document.write( "8<BR>\n" );
document.write( "Before hypnotism<BR>\n" );
document.write( "6.6<BR>\n" );
document.write( "6.5<BR>\n" );
document.write( "9.0<BR>\n" );
document.write( "10.3<BR>\n" );
document.write( "11.3<BR>\n" );
document.write( "8.1<BR>\n" );
document.write( "6.3<BR>\n" );
document.write( "11.6<BR>\n" );
document.write( "After hypnotism<BR>\n" );
document.write( "6.8<BR>\n" );
document.write( "2.4<BR>\n" );
document.write( "7.4<BR>\n" );
document.write( "8.5<BR>\n" );
document.write( "8.1<BR>\n" );
document.write( "6.1<BR>\n" );
document.write( "3.4<BR>\n" );
document.write( "2.0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779938 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=779938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a paired t-test looking at the differences with the null hypothesis difference of 0 or negative, and alternative hypothesis being difference positive (defining difference as before-after)\r<BR>\n" );
document.write( "\n" );
document.write( "x bar is 3.125<BR>\n" );
document.write( "s is 2.91<BR>\n" );
document.write( "n=8 df=7<BR>\n" );
document.write( "critical value if alpha is 0.05 for a right tail test is t>1.895\r<BR>\n" );
document.write( "\n" );
document.write( "t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=3.125*sqrt(8)/2.91=3.04<BR>\n" );
document.write( "p=0.009\r<BR>\n" );
document.write( "\n" );
document.write( "Conclude that hypnotism is effective in alleviating the pain. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );