document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327052>Question 327052</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners?  A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. A sample of 12 accountants who were not partners showed a mean of $78,000 with a standard deviation of $6,500. At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries<BR>\n" );
document.write( "a.   State the null and alternate hypotheses.<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.   Compute the p-value.<BR>\n" );
document.write( "e.   What is your decision regarding the null hypothesis?  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234415 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=234415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Is the mean salary of accountants who have reached partnership status higher than that for accountants who are not partners? <BR>\n" );
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document.write( "A sample of 15 accountants who have the partnership status showed a mean salary of $82,000 with a standard deviation of $5,500. <BR>\n" );
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document.write( "A sample of 12 accountants who were not partners showed a mean of $78,000 with a standard deviation of $6,500. <BR>\n" );
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document.write( "At the 0.05 significance level can we conclude that accountants at the partnership level earn larger salaries<BR>\n" );
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document.write( "a. State the null and alternate hypotheses.<BR>\n" );
document.write( "Ho: u(part)-u(notpart) <= 0<BR>\n" );
document.write( "Ha: u(part)-u(notpart) > 0<BR>\n" );
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document.write( "b. State the decision rule.<BR>\n" );
document.write( "c. Compute the value of the test statistic.<BR>\n" );
document.write( "I ran a 2-SampleTtest and got t = 1.6998<BR>\n" );
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document.write( "d. Compute the p-value.<BR>\n" );
document.write( "P(t > 1.6998 when df = 21) = 0.0520<BR>\n" );
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document.write( "e. What is your decision regarding the null hypothesis?<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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