document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144416>Question 144416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	The manager of a software company is studying the number of hours/week that senior executives spend at their						<BR>\n" );
document.write( "	destop computers.  There are three industries that he has data for and these are listed under Banking, Retail, and Insurance.						<BR>\n" );
document.write( "	The sample size is n = 5 senior managers from each of the industries and the times listed are shown in the table below.						<BR>\n" );
document.write( "	ANOVA Problem: 						<BR>\n" );
document.write( "	At the 0.05 significance level, can the software manager doing the study conclude 						<BR>\n" );
document.write( "	that there is a difference in the mean number of hours spent per week by industry?						<BR>\n" );
document.write( "							<BR>\n" );
document.write( "			Banking		Retail		Insurance<BR>\n" );
document.write( "			12		8		10<BR>\n" );
document.write( "			10		8		8<BR>\n" );
document.write( "			10		6		6<BR>\n" );
document.write( "			12		8		8<BR>\n" );
document.write( "			10		10		10<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 #105189 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=105189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the 0.05 significance level, can the software manager doing the study conclude <BR>\n" );
document.write( "that there is a difference in the mean number of hours spent per week by industry? \r<BR>\n" );
document.write( "\n" );
document.write( "Banking Retail Insurance<BR>\n" );
document.write( "12 8 10<BR>\n" );
document.write( "10 8 8<BR>\n" );
document.write( "10 6 6<BR>\n" );
document.write( "12 8 8<BR>\n" );
document.write( "10 10 10\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------<BR>\n" );
document.write( "Ho: u1 = u2 = u3<BR>\n" );
document.write( "Ha: at least one of the means is different<BR>\n" );
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document.write( "I ran ANOVA on the data using a TI calculator and got the following results:<BR>\n" );
document.write( "F = 5.73<BR>\n" );
document.write( "p-value = 0.01788..<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Conclusion: Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "At least one of the means is different.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );