document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=702808>Question 702808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study was carried out to investigate the effect of five particular mixes of soil and fertilizer, labelled A to E, on the fruiting of Capiscum (pepper) plants. The plants were to be classified according to how much fruit they produced, as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "	Group 1: No fruit							<BR>\n" );
document.write( "	Group 2: Some fruit							<BR>\n" );
document.write( "	Group 3: Plentiful fruit							<BR>\n" );
document.write( "	<BR>\n" );
document.write( "A large number of plants were grown, and the number in each category of soil/fertilizer type and fruit production were counted in one growing season. Plants which did not survive were not counted. This data is presented in the following table.							<BR>\n" );
document.write( "								<BR>\n" );
document.write( "          		A	B	C	D	E		<BR>\n" );
document.write( "              	G1	10	12	10	19	15		<BR>\n" );
document.write( "                G2	12	10	14	22	11		<BR>\n" );
document.write( "                G3	12	15	18	20	11		\r<BR>\n" );
document.write( "\n" );
document.write( "Carry out an appropriate statistical test to investigate whether or not there is a link between the type of fertilizer/soil and the fruit production.							<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 #433172 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=433172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A large number of plants were grown, and the number in each category of soil/fertilizer type and fruit production were counted in one growing season. Plants which did not survive were not counted. This data is presented in the following table. \r<BR>\n" );
document.write( "\n" );
document.write( "A B C D E <BR>\n" );
document.write( "G1 10 12 10 19 15 <BR>\n" );
document.write( "G2 12 10 14 22 11 <BR>\n" );
document.write( "G3 12 15 18 20 11 <BR>\n" );
document.write( "Carry out an appropriate statistical test to investigate whether or not there is a link between the type of fertilizer/soil and the fruit production. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Ho: row and column factors are independent<BR>\n" );
document.write( "Ha: they are not independent<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "I ran an ANOVA on the 3x4 set and got the following results:<BR>\n" );
document.write( "test statistic: F = 0.3004<BR>\n" );
document.write( "p-value: 0.75<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Conclusion: Since the p-value is greater than 5%, fail to reject<BR>\n" );
document.write( "Ho at the 5% level of significance.<BR>\n" );
document.write( "In English: The fertilizer type and fruit production are independent.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );