document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=304846>Question 304846</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. <BR>\n" );
document.write( "Research question: Are the mean crash damages the same for these three<BR>\n" );
document.write( "vehicles?\r<BR>\n" );
document.write( "\n" );
document.write( "Crash Damage ($)<BR>\n" );
document.write( "Goliath			 Varmint 			Weasel<BR>\n" );
document.write( "1,600			 1,290				 1,090<BR>\n" );
document.write( "   760 			 1,400				 2,100<BR>\n" );
document.write( "   880			 1,390				 1,830<BR>\n" );
document.write( "1,950			 1,850				 1,250<BR>\n" );
document.write( "1,220			   950 				 1,920<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218298 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. <BR>\n" );
document.write( "Research question: Are the mean crash damages the same for these three<BR>\n" );
document.write( "vehicles?\r<BR>\n" );
document.write( "\n" );
document.write( "Crash Damage ($)<BR>\n" );
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" );
document.write( "--------------------------------------------------------------<BR>\n" );
document.write( "Ho: the means are all equal<BR>\n" );
document.write( "Ha: at least one of the means is different<BR>\n" );
document.write( "----<BR>\n" );
document.write( "I ran an ANOVA test on the data to get the following:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "test statistic: F = 0.9367<BR>\n" );
document.write( "p-value: 0.4188<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The test results support saying the results of the crash<BR>\n" );
document.write( "tests are the same for the three vehicle types.<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" );