document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281268>Question 281268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1\r<BR>\n" );
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document.write( "Crash Damage ($)\r<BR>\n" );
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document.write( "Goliath 			Varmint 			Weasel<BR>\n" );
document.write( "1,600 				1,290 				1,090<BR>\n" );
document.write( "760 				1,400 				2,100<BR>\n" );
document.write( "880 				1,390 				1,830<BR>\n" );
document.write( "1,950 				1,850 				1,250<BR>\n" );
document.write( "1,220 				950 				1,920<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 #204301 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=204301\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Five test vehicles of each type were crashed, with the results shown below. Research questions: (a) Are the mean crash damages the same or significantly different among these three vehicles? (b) Are there any significant differences between pairs of groups? What test did you use? Explain. <BR>\n" );
document.write( "Crash Damage in Dollars <BR>\n" );
document.write( "Goliath <BR>\n" );
document.write( "1100 <BR>\n" );
document.write( "750 <BR>\n" );
document.write( "970 <BR>\n" );
document.write( "1000<BR>\n" );
document.write( "850 <BR>\n" );
document.write( "Varmint<BR>\n" );
document.write( "1290<BR>\n" );
document.write( "1400<BR>\n" );
document.write( "1390<BR>\n" );
document.write( "1850<BR>\n" );
document.write( "1100 <BR>\n" );
document.write( "Weasel<BR>\n" );
document.write( "1100<BR>\n" );
document.write( "1500<BR>\n" );
document.write( "1000<BR>\n" );
document.write( "1250<BR>\n" );
document.write( "1920 <BR>\n" );
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document.write( "Ho: the means are all equal<BR>\n" );
document.write( "Ha: at least one of the means is different<BR>\n" );
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document.write( "I ran an ANOVA test against the three lists of data<BR>\n" );
document.write( "and go the following results:<BR>\n" );
document.write( "test statistic : F = 4.3638<BR>\n" );
document.write( "p-value : 0.0377<BR>\n" );
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document.write( "Conclusion: Fail to reject Ho if alpha is 5% but reject Ho if alpha=1%.<BR>\n" );
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document.write( "Further testing could reveal which mean(s) is higher or lower if you<BR>\n" );
document.write( "reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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