document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263144>Question 263144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The production manager at Bellevue Steel, a manufacturer of wheelchairs, wants to compare the number of defective wheelchairs produced on the day shift with the number on the afternoon shift. A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of defects. Assume this is a two sample “Unknown Variances, Assumed Equal”. The level of significance is 0.05. The standard deviation for Day is 1.4142 and the standard deviation for Afternoon is 2.2678.\r<BR>\n" );
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document.write( "Day	5	8	7	6	9	7		<BR>\n" );
document.write( "Afternoon	8	10	7	11	9	12	14	9\r<BR>\n" );
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document.write( "1. Set up the null and alternative hypothesis.\r<BR>\n" );
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document.write( "2.  Calculate the value of the test statistic.\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 the decision rule (DR)?\r<BR>\n" );
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document.write( "5. Reject Ho if (complete the DR in next box)	\r<BR>\n" );
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document.write( "6. What is your decision regarding Ho?\r<BR>\n" );
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document.write( "Accept or Reject Ho?	\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 #194049 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=194049\">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 compare the number of defective wheelchairs produced on the day shift with the number on the afternoon shift. <BR>\n" );
document.write( "A sample of the production from 6 day shifts and 8 afternoon shifts revealed the following number of defects. Assume this is a two sample “Unknown Variances, Assumed Equal”. The level of significance is 0.05. The standard deviation for Day is 1.4142 and the standard deviation for Afternoon is 2.2678. <BR>\n" );
document.write( "Day:::::: 5  8 7  6 9 7 <BR>\n" );
document.write( "Afternoon 8 10 7 11 9 12 14 9 <BR>\n" );
document.write( "1. Set up the null and alternative hypothesis. <BR>\n" );
document.write( "Ho: u(day)-u(aft) = 0<BR>\n" );
document.write( "Ha: u(day)-u(aft) is not equal to 0<BR>\n" );
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document.write( "2. Calculate the value of the test statistic.<BR>\n" );
document.write( "I ran a 2-Sample Ttest and got:<BR>\n" );
document.write( "t = -3.0363... \r<BR>\n" );
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document.write( "3. What is the critical value<BR>\n" );
document.write( "If alpha = 5% cv = +-invT(0.025,df = 12) = +-2.1788<BR>\n" );
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document.write( "4. What is the decision rule (DR)?<BR>\n" );
document.write( "Reject Ho if the test stat is > 2.1788 or <-2.1788<BR>\n" );
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document.write( "5. Reject Ho if (complete the DR in next box) <BR>\n" );
document.write( "6. What is your decision regarding Ho? <BR>\n" );
document.write( "Accept or Reject Ho?<BR>\n" );
document.write( "Reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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