document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188238>Question 188238</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I just cant get this one. <BR>\n" );
document.write( "The results shown below are mean productivity measurements (average number of assemblies completed per hour) for a random sample of workers at each of three plants. Research question: Are the mean hourly productivity levels the same for workers in these three plants? Productivity<BR>\n" );
document.write( "Hourly Productivity of Assemblers in Plants<BR>\n" );
document.write( "Plant	Finished Units Produced Per Hour<BR>\n" );
document.write( "A (9 workers)<BR>\n" );
document.write( "3.6<BR>\n" );
document.write( "5.1<BR>\n" );
document.write( "2.8<BR>\n" );
document.write( "4.6<BR>\n" );
document.write( "4.7<BR>\n" );
document.write( "4.1<BR>\n" );
document.write( "3.4<BR>\n" );
document.write( "2.9<BR>\n" );
document.write( "4.5<BR>\n" );
document.write( "Â <BR>\n" );
document.write( "B (6 workers)<BR>\n" );
document.write( "2.7<BR>\n" );
document.write( "3.1<BR>\n" );
document.write( "5.0<BR>\n" );
document.write( "1.9<BR>\n" );
document.write( "2.2<BR>\n" );
document.write( "3.2<BR>\n" );
document.write( "Â 	Â 	Â 	Â <BR>\n" );
document.write( "C (10 workers)<BR>\n" );
document.write( "6.8<BR>\n" );
document.write( "2.5<BR>\n" );
document.write( "5.4<BR>\n" );
document.write( "6.7<BR>\n" );
document.write( "4.6<BR>\n" );
document.write( "3.9<BR>\n" );
document.write( "5.4<BR>\n" );
document.write( "4.9<BR>\n" );
document.write( "7.1<BR>\n" );
document.write( "8.4<BR>\n" );
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 #141109 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=141109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The results shown below are mean productivity measurements (average number of assemblies completed per hour) for a random sample of workers at each of three plants. Research question: Are the mean hourly productivity levels the same for workers in these three plants? Productivity<BR>\n" );
document.write( "Hourly Productivity of Assemblers in Plants<BR>\n" );
document.write( "Plant Finished Units Produced Per Hour<BR>\n" );
document.write( "A (9 workers)<BR>\n" );
document.write( "3.6<BR>\n" );
document.write( "5.1<BR>\n" );
document.write( "2.8<BR>\n" );
document.write( "4.6<BR>\n" );
document.write( "4.7<BR>\n" );
document.write( "4.1<BR>\n" );
document.write( "3.4<BR>\n" );
document.write( "2.9<BR>\n" );
document.write( "4.5<BR>\n" );
document.write( "Â <BR>\n" );
document.write( "B (6 workers)<BR>\n" );
document.write( "2.7<BR>\n" );
document.write( "3.1<BR>\n" );
document.write( "5.0<BR>\n" );
document.write( "1.9<BR>\n" );
document.write( "2.2<BR>\n" );
document.write( "3.2<BR>\n" );
document.write( "Â Â Â Â <BR>\n" );
document.write( "C (10 workers)<BR>\n" );
document.write( "6.8<BR>\n" );
document.write( "2.5<BR>\n" );
document.write( "5.4<BR>\n" );
document.write( "6.7<BR>\n" );
document.write( "4.6<BR>\n" );
document.write( "3.9<BR>\n" );
document.write( "5.4<BR>\n" );
document.write( "4.9<BR>\n" );
document.write( "7.1<BR>\n" );
document.write( "8.4\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "Please post the data in rectangular form.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ho: The means are all equal<BR>\n" );
document.write( "Ha: At least two of the mean are not the same<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "I ran an ANOVA test on the data and got the following:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "test statistic: F = 7.7179<BR>\n" );
document.write( "p-value: 0.0029<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Conclusion:<BR>\n" );
document.write( "Since the p-value is less than alpha = 5%, reject Ho.<BR>\n" );
document.write( "At least two of the means are not equal.<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );