document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143246>Question 143246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of 40 observations is selected from one population.  The sample mean is 102 and the sample STDEV is 5.  A second sample of 50 observations is selected from a second population.  That sample mean is 99 and the STDEV is 6.  Conduct the following test of hypotheses using the 0.04 significance level:<BR>\n" );
document.write( "H(0): m(1) = m(2)<BR>\n" );
document.write( "H(1): m(1) is not equal to m(2)<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 z- test statistic.<BR>\n" );
document.write( "d.	State your decision regarding H(0).<BR>\n" );
document.write( "Please answer in excell spreadsheet if possible. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104243 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=104243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sample of 40 observations is selected from one population.  The sample mean is 102 and the sample STDEV is 5.  A second sample of 50 observations is selected from a second population.  That sample mean is 99 and the STDEV is 6.  Conduct the following test of hypotheses using the 0.04 significance level:<BR>\n" );
document.write( "H(0): m(1) = m(2)<BR>\n" );
document.write( "H(1): m(1) is not equal to m(2)<BR>\n" );
document.write( "a.	Is this a one-tailed or a two-tailed test?<BR>\n" );
document.write( "Ans: Since H1 is \"not equal to\" it is a two-tail test.<BR>\n" );
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document.write( "b.	State the decision rule.<BR>\n" );
document.write( "If the p-value is greater than 4% fail to reject Ho.<BR>\n" );
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document.write( "c.	Compute the value of the z- test statistic.<BR>\n" );
document.write( "Using a 2-Sample ZTest on a TI calculator I get:<BR>\n" );
document.write( "z = 2.5868<BR>\n" );
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document.write( "d.	State your decision regarding H(0).<BR>\n" );
document.write( "Since p-value is 0.009 is less than 4%, reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );