document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083054>Question 1083054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 44 observations is selected from one population with a population standard deviation of 4.9. The sample mean is 102.0. A sample of 45 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 100.6. Conduct the following test of hypothesis using the 0.02 significance level.  \r<BR>\n" );
document.write( "\n" );
document.write( "I need help with # b the intervals and e the p-value\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a.	This is a -tailed test.<BR>\n" );
document.write( " <BR>\n" );
document.write( "b.	<BR>\n" );
document.write( "State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( "  The decision rule is to reject H0 if z is outside the interval (),().<BR>\n" );
document.write( " <BR>\n" );
document.write( "c.	Compute the value of the test statistic. (Round your answer to 2 decimal places.)<BR>\n" );
document.write( " <BR>\n" );
document.write( "  Value of the test statistic	1.51<BR>\n" );
document.write( "  <BR>\n" );
document.write( " <BR>\n" );
document.write( "d.	What is your decision regarding H0?<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( " 	Do Not reject<BR>\n" );
document.write( " <BR>\n" );
document.write( "e.	What is the p-value? (Round your answer to 4 decimal places.)<BR>\n" );
document.write( " 	 <BR>\n" );
document.write( "  p-value	\r<BR>\n" );
document.write( "\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 #697144 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=697144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is a 2-tailed test.<BR>\n" );
document.write( "Reject Ho if |z|>2.33.  The absolute value of z is a nice shortcut to say if z is <-2.33 or >+2.33 one will reject Ho.<BR>\n" );
document.write( "z=1.51<BR>\n" );
document.write( "p-value is 0.1326.<BR>\n" );
document.write( "With a calculator, that comes up.  Without, one looks up the z-value for 1.51 in a table and that is one sided probability.  For two sided probability, multiply the z-value by 2.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );