document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253978>Question 253978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following sample data of head injury to crash test dummies and a significance level of &#945; = 0.05, test the claim							<BR>\n" );
document.write( "that the four samples come from populations with the same mean (&#956;1 = &#956;2 = &#956;3 = &#956;4).							<BR>\n" );
document.write( "							<BR>\n" );
document.write( "Subcompact Cars	Compact Cars	Midsize Cars	Full-Size Cars				<BR>\n" );
document.write( "681	            643	              469	384				<BR>\n" );
document.write( "428	            655	              727	656				<BR>\n" );
document.write( "917	            442	              525	602				<BR>\n" );
document.write( "898	            514	              454	687				<BR>\n" );
document.write( "420	            525	              <BR>\n" );
document.write( "259	360				<BR>\n" );
document.write( "							<BR>\n" );
document.write( "a.	What  is the sum of squares between groups?						<BR>\n" );
document.write( "b.	What is the sum of squares within groups?						<BR>\n" );
document.write( "c.	What is the degrees of freedom between groups?						<BR>\n" );
document.write( "d.	What is the degrees of freedom within groups?						<BR>\n" );
document.write( "e.	What is the F value?						<BR>\n" );
document.write( "f.	What is the Fcritical value?						<BR>\n" );
document.write( "g.	What is the p-value?						<BR>\n" );
document.write( "h.	Based on the p-value describe why you accept/reject the hypothesis.						<BR>\n" );
document.write( "							<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 #186587 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=186587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the following sample data of head injury to crash test dummies and a significance level of &#945; = 0.05, test the claim <BR>\n" );
document.write( "that the four samples come from populations with the same mean (&#956;1 = &#956;2 = &#956;3 = &#956;4). \r<BR>\n" );
document.write( "\n" );
document.write( "Subcompact Cars Compact Cars Midsize Cars Full-Size Cars <BR>\n" );
document.write( "681 643 469 384 <BR>\n" );
document.write( "428 655 727 656 <BR>\n" );
document.write( "917 442 525 602 <BR>\n" );
document.write( "898 514 454 687 <BR>\n" );
document.write( "420 525 <BR>\n" );
document.write( "259 360 \r<BR>\n" );
document.write( "\n" );
document.write( "a. What is the sum of squares between groups?;;;;20912.3667 <BR>\n" );
document.write( "b. What is the sum of squares within groups?;;;;;6970.7889 <BR>\n" );
document.write( "c. What is the degrees of freedom between groups?;;;;;3 <BR>\n" );
document.write( "d. What is the degrees of freedom within groups?;;;;;;16 <BR>\n" );
document.write( "e. What is the F value?;;;;;;0.20546.. <BR>\n" );
document.write( "f. What is the F critical value?;;;;;? <BR>\n" );
document.write( "g. What is the p-value?0.8911.. <BR>\n" );
document.write( "h. Based on the p-value describe why you accept/reject the hypothesis.<BR>\n" );
document.write( "Since the p-value is greater than alpha, do not reject Ho.<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" );