document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400989>Question 400989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to perform a second analysis of the number of defective wheelchairs produced on the day shift and afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of defects.\r<BR>\n" );
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document.write( "At the 0.10 significance level, is there a difference in the mean number of defects per shift?\r<BR>\n" );
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document.write( "Day			10	9	6	6	4	9<BR>\n" );
document.write( "Afternoon	8	10	7	5	8	10	5	6\r<BR>\n" );
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document.write( "1.	State the null and alternate hypotheses.\r<BR>\n" );
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document.write( "2.	What is the decision rule?\r<BR>\n" );
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document.write( "3.	What is the value of the test statistic?\r<BR>\n" );
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document.write( "4.	What is your decision regarding the null hypothesis?\r<BR>\n" );
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document.write( "5.	What is the p-value?\r<BR>\n" );
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document.write( "6.	Interpret the result.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283813 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=283813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to perform a second analysis of the number of defective wheelchairs produced on the day shift and afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of defects. <BR>\n" );
document.write( "At the 0.10 significance level, is there a difference in the mean number of defects per shift? <BR>\n" );
document.write( "Day 10 9 6 6 4 9<BR>\n" );
document.write( "Afternoon 8 10 7 5 8 10 5 6 <BR>\n" );
document.write( "1. State the null and alternate hypotheses. <BR>\n" );
document.write( "Ho: u1-u2 = 0<BR>\n" );
document.write( "Ha: u1-u2 is not equal to 0<BR>\n" );
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document.write( "Run a two-sample T-test.<BR>\n" );
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document.write( "x-bar1 = 7.6 and x-bar2 = 7.375<BR>\n" );
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document.write( "2. What is the decision rule? <BR>\n" );
document.write( "Reject Ho if the ts is < -1.89 or > +1.89<BR>\n" );
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document.write( "3. What is the value of the test statistic?<BR>\n" );
document.write( "t = 0.1697<BR>\n" );
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document.write( "4. What is your decision regarding the null hypothesis? <BR>\n" );
document.write( "Fail to reject Ho.<BR>\n" );
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document.write( "5. What is the p-value?<BR>\n" );
document.write( "P-value = 2*P(t > 0.1697 when df=7)  <BR>\n" );
document.write( "p = 0.87<BR>\n" );
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document.write( "6. Interpret the result.<BR>\n" );
document.write( "The test shows strong evidence that the means are<BR>\n" );
document.write( "statistically the same at the 10% significance level.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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