document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163234>Question 1163234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> H0: μ = 73<BR>\n" );
document.write( "HA: μ ≠ 73\r<BR>\n" );
document.write( "\n" );
document.write( "Find the p-value for this test based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table)\r<BR>\n" );
document.write( "\n" );
document.write( "1. x¯ = 70; s = 6.4; n = 19\r<BR>\n" );
document.write( "\n" );
document.write( "  A.  0.05 < or equal to p-value < 0.10<BR>\n" );
document.write( "  B.  p-value < 0.01<BR>\n" );
document.write( "  C.  0.01 < or equal to p-value < 0.02<BR>\n" );
document.write( "  D.  p-value > or equal to 0.10<BR>\n" );
document.write( "  E.  0.02 < or equal to p-value < 0.05\r<BR>\n" );
document.write( "\n" );
document.write( "2. x¯ = 70; s = 6.4; n = 24\r<BR>\n" );
document.write( "\n" );
document.write( "  A.  p-value < 0.01<BR>\n" );
document.write( "  B.  0.01 < or equal to p-value < 0.02<BR>\n" );
document.write( "  C.  0.05 < or equal to p-value < 0.10<BR>\n" );
document.write( "  D.  p-value > or equal to 0.10<BR>\n" );
document.write( "  E.  0.02 < or equal to p-value < 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 #787264 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=787264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using s, this is a t-statistic with df=18<BR>\n" );
document.write( "t=(x bar-mean)/s/sqrt(n)<BR>\n" );
document.write( "=-3/6.4/sqrt(19)<BR>\n" );
document.write( "=-3*sqrt(19)/6.4<BR>\n" );
document.write( "=-2.04. But this is doubled since a two way test, and the answer will be<BR>\n" );
document.write( "0.05<p<0.010 for 18 degrees of freedom (it is 0.0560)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "with n=24 and df=23<BR>\n" );
document.write( "t=-2.30<BR>\n" );
document.write( "this will make the p-value 0.025<p<0.05. (it is 0.031)\r<BR>\n" );
document.write( "\n" );
document.write( "A one way test uses the difference only on one side to the distribution, but a two way requires both sides to be considered.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );