document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542760>Question 542760</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? Perform an ANOVA at &#945; = 0.1.\r<BR>\n" );
document.write( "\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	$1,920\r<BR>\n" );
document.write( "\n" );
document.write( "Step 1:	State the null and alternate hypotheses				<BR>\n" );
document.write( "	Ho: u1 = u2 = u3				<BR>\n" );
document.write( "	H1: At least one of the means id fifferent				<BR>\n" );
document.write( "					<BR>\n" );
document.write( "Step 2:	Select a level of significance				<BR>\n" );
document.write( "	&#945; = 0.1	The level of significance is 10%.			<BR>\n" );
document.write( "					<BR>\n" );
document.write( "					<BR>\n" );
document.write( "Step 3:	Identify the test statistic				<BR>\n" );
document.write( "					<BR>\n" );
document.write( "					\r<BR>\n" );
document.write( "\n" );
document.write( "Step 4:	Formulate a decision rule				\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 5:	Make a decision				\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354690 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated.Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1<BR>\n" );
document.write( "Crash Damage ($) <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( "-------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Ho: means are all the same<BR>\n" );
document.write( "Ha: at least one of the means is different<BR>\n" );
document.write( "Chi-Sq Test:<BR>\n" );
document.write( "Test Statistic: Chi-Sq = 1338.97<BR>\n" );
document.write( "p-value: 0<BR>\n" );
document.write( "df= 8<BR>\n" );
document.write( "Conclusion: 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. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );