document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137281>Question 137281</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072868244/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\">  There are four auto body shops in a community and all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software package is:<BR>\n" );
document.write( "Summary<BR>\n" );
document.write( "Groups Count Sum Average Variance<BR>\n" );
document.write( "Body Shop A 3 15.4 5.133333 0.323333<BR>\n" );
document.write( "Body Shop B 4 32 8 1.433333<BR>\n" );
document.write( "Body Shop C 5 25.2 5.04 0.748<BR>\n" );
document.write( "Body Shop D 4 25.9 6.475 0.595833<BR>\n" );
document.write( "ANOVA<BR>\n" );
document.write( "Source of Variation SS df M F p-value<BR>\n" );
document.write( "Between Groups 23.37321 3 7.791069 9.612506 0.001632<BR>\n" );
document.write( "Within Groups 9.726167 12 0.810514<BR>\n" );
document.write( "Total 33.09938 15<BR>\n" );
document.write( "Is there evidence to suggest a difference in the mean waiting times at the four body shops?<BR>\n" );
document.write( "Use the .05 significance level.<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 #100433 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=100433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are four auto body shops in a community and all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software package is:<BR>\n" );
document.write( "Summary<BR>\n" );
document.write( "Groups Count Sum Average Variance<BR>\n" );
document.write( "Body Shop A 3 15.4 5.133333 0.323333<BR>\n" );
document.write( "Body Shop B 4 32 8 1.433333<BR>\n" );
document.write( "Body Shop C 5 25.2 5.04 0.748<BR>\n" );
document.write( "Body Shop D 4 25.9 6.475 0.595833<BR>\n" );
document.write( "ANOVA<BR>\n" );
document.write( "Source of Variation SS df M F p-value<BR>\n" );
document.write( "Between Groups 23.37321 3 7.791069 9.612506 0.001632<BR>\n" );
document.write( "Within Groups 9.726167 12 0.810514<BR>\n" );
document.write( "Total 33.09938 15<BR>\n" );
document.write( "Is there evidence to suggest a difference in the mean waiting times at the four body shops?<BR>\n" );
document.write( "Use the .05 significance level.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Ho: The mean waiting times are all equal<BR>\n" );
document.write( "Ha: At least one of the mean waiting times is not equal<BR>\n" );
document.write( "ANOVA software was run on the data.<BR>\n" );
document.write( "The p-value is 0.001632 which is less than 5%<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Conclusion: Reject Ho<BR>\n" );
document.write( "Not all the waiting times are equal<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );