document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345025>Question 345025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 65 observations is selected from one population with a population standard						<BR>\n" );
document.write( "deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from						<BR>\n" );
document.write( "a second population with a population standard deviation of 0.66. The sample mean is						<BR>\n" );
document.write( "2.59. Conduct the following test of hypothesis using the .08 significance level.						<BR>\n" );
document.write( "						<BR>\n" );
document.write( "H0: u1 < u2						<BR>\n" );
document.write( "H1: u1 >u2						<BR>\n" );
document.write( "						<BR>\n" );
document.write( "						<BR>\n" );
document.write( "a. Is this a one-tailed or a two-tailed test?						<BR>\n" );
document.write( "b. State the decision rule.						<BR>\n" );
document.write( "c. Compute the value of the test statistic.						<BR>\n" );
document.write( "d. What is your decision regarding H0?						<BR>\n" );
document.write( "e. What is the p-value?						<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 #246842 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 65 observations is selected from one population with a population standard deviation of 0.75. \r<BR>\n" );
document.write( "\n" );
document.write( "The sample mean is 2.67. <BR>\n" );
document.write( "======================================\r<BR>\n" );
document.write( "\n" );
document.write( "A sample of 50 observations is selected from a second population with a population standard deviation of 0.66.\r<BR>\n" );
document.write( "\n" );
document.write( "The sample mean is 2.59.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Conduct the following test of hypothesis using the .08 significance level. \r<BR>\n" );
document.write( "\n" );
document.write( "H0: u1 <= u2 <BR>\n" );
document.write( "H1: u1 >u2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Note: Equality MUST be part of Ho in every hypothesis test.<BR>\n" );
document.write( "----------- \r<BR>\n" );
document.write( "\n" );
document.write( "a. Is this a one-tailed or a two-tailed test?<BR>\n" );
document.write( "Right-tailed<BR>\n" );
document.write( "H1 ALWAYS tells you the type of test.<BR>\n" );
document.write( "========================================== <BR>\n" );
document.write( "b. State the decision rule.<BR>\n" );
document.write( "If the p-value is greater than 8%, fail to reject Ho.<BR>\n" );
document.write( "========================================== <BR>\n" );
document.write( "c. Compute the value of the test statistic.<BR>\n" );
document.write( "t = (2.57-2.69)/sqrt[s1^2/n1 + s2^2/n2] = 0.6071<BR>\n" );
document.write( "------------------------------------------ <BR>\n" );
document.write( "d. What is your decision regarding H0?<BR>\n" );
document.write( "e. What is the p-value? \r<BR>\n" );
document.write( "\n" );
document.write( "Note: The p-value is 0.2725, so fail to reject Ho.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Comment: I used a 2-Sample T test on a TI-84 to get the<BR>\n" );
document.write( "test statistic and the p-value.l<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );