document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123662>Question 123662</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh>Statistical Techniques in Business and Economics, </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand this problem I am having major difficulties understanding this!\r<BR>\n" );
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document.write( "Chapter 11: Two-Sample Tests of Hypothesis\r<BR>\n" );
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document.write( "21) The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded.\r<BR>\n" );
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document.write( " Salesperson        Before     After \r<BR>\n" );
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document.write( "Sid Mahone           $320      $340<BR>\n" );
document.write( "Carol Quick           290       285<BR>\n" );
document.write( "Tom Jackson           421       475<BR>\n" );
document.write( "Andy Jones            510       510 <BR>\n" );
document.write( "Jean Sloan            210       210<BR>\n" );
document.write( "Jack Walker           402       500<BR>\n" );
document.write( "Peg Mancuso           625       631<BR>\n" );
document.write( "Anita Loma            560       560<BR>\n" );
document.write( "John Cuso             360       365<BR>\n" );
document.write( "Carl Utz              431       431<BR>\n" );
document.write( "A. S. Kushner         506       525<BR>\n" );
document.write( "Fern Lawton           505       619\r<BR>\n" );
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document.write( "Was there a significant increase in the typical salesperson's weekly income due to the innovative incentive plan? Use the .05 significance level. Estimate the p-value, and interpret it.\r<BR>\n" );
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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 #90726 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=90726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The management of Discount Furniture, a chain of discount furniture stores in the Northeast, designed an incentive plan for salespeople. To evaluate this innovative plan, 12 salespeople were selected at random, and their weekly incomes before and after the plan were recorded. <BR>\n" );
document.write( "Salesperson Before After <BR>\n" );
document.write( "Sid Mahone $320 $340<BR>\n" );
document.write( "Carol Quick 290 285<BR>\n" );
document.write( "Tom Jackson 421 475<BR>\n" );
document.write( "Andy Jones 510 510 <BR>\n" );
document.write( "Jean Sloan 210 210<BR>\n" );
document.write( "Jack Walker 402 500<BR>\n" );
document.write( "Peg Mancuso 625 631<BR>\n" );
document.write( "Anita Loma 560 560<BR>\n" );
document.write( "John Cuso 360 365<BR>\n" );
document.write( "Carl Utz 431 431<BR>\n" );
document.write( "A. S. Kushner 506 525<BR>\n" );
document.write( "Fern Lawton 505 619 <BR>\n" );
document.write( "Was there a significant increase in the typical salesperson's weekly income due to the innovative incentive plan? Use the .05 significance level. Estimate the p-value, and interpret it. <BR>\n" );
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document.write( "The two sample are dependent because each pair of  figures apply to one person.<BR>\n" );
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document.write( "Calculate each of the pair differences in the same order.<BR>\n" );
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document.write( "Ho: mu of the differences = 0<BR>\n" );
document.write( "Ha: mu of the differences is not zero<BR>\n" );
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document.write( "I assume you use a T-test on such means problems.<BR>\n" );
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document.write( "Test Statistic: t(-25.9167)=-2.2009<BR>\n" );
document.write( "p-value = 0.0500<BR>\n" );
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document.write( "Conclusion: Since the p-value = alpha = 5% no conclusion can be<BR>\n" );
document.write( "made regarding Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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