document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132780>Question 132780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are the Vice President for Human Resources at XYZ Investment Management, Inc. Your employees have recently complained about their long working hours. You collected a sample of 49 timesheets and calculated an average of 41.5 hours with a standard deviation of 2.5 hours. Using a significance level of 0.01, can you conclude that your employees work more than 40 hours per week? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97027 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=97027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You collected a sample of 49 timesheets and calculated an average of 41.5 hours with a standard deviation of 2.5 hours. Using a significance level of 0.01, can you conclude that your employees work more than 40 hours per week?<BR>\n" );
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document.write( "Ho: mu = 40<BR>\n" );
document.write( "Ha: mu > 40 (Claim)<BR>\n" );
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document.write( "Critical value for one-tail T-test with alpha=1% and df= 48 = 2.326<BR>\n" );
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document.write( "Test statistic: t(41.5) = (41.5-40)/[2.5/sqrt(49)] = 4.2<BR>\n" );
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document.write( "p-value = P(4.2 < t < 10)= 0.000057539...<BR>\n" );
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document.write( "p-value is significantly less than alph, so reject Ho.<BR>\n" );
document.write( "The test supports acceptance of the Claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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