document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823465>Question 823465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A medical researcher wanted to test the effect of types of treatment to recover from a cold. He collected the data for the pill, syrup, and sleeping. The data shows the number of days patients took to recover from a cold. Test the hypothesis that the mean days of recovery is not different among treatment types at &#945; = 0.01.												<BR>\n" );
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document.write( "	Pill	Syrup	Sleep		Anova: Single Factor							<BR>\n" );
document.write( "	3.9	5.4	1.3									<BR>\n" );
document.write( "	1.4	2	0.7		SUMMARY							<BR>\n" );
document.write( "	4.1	4.8	2.2		Groups	Count	Sum	Average	Variance			<BR>\n" );
document.write( "	5.5	3.8	1.4		Pill	5	17.2	3.44	2.588			<BR>\n" );
document.write( "	2.3	3.5	2.1		Syrup	5	19.5	3.9	1.71			<BR>\n" );
document.write( "					Sleep	5	7.7	1.54	0.383			<BR>\n" );
document.write( "												<BR>\n" );
document.write( "												<BR>\n" );
document.write( "					ANOVA				  Source of Variation	SS	df   MS	      F	        P-value	    F crit Between Groups	      15.652	2    7.826  5.015594958	0.026113179 3.885293835	<BR>\n" );
document.write( "Within Groups	      18.724	12   1.560333333(MS)				<BR>\n" );
document.write( "												<BR>\n" );
document.write( "	Total	      34.376	14					<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 #495548 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=495548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A medical researcher wanted to test the effect of types of treatment to recover from a cold. He collected the data for the pill, syrup, and sleeping. The data shows the number of days patients took to recover from a cold. Test the hypothesis that the mean days of recovery is not different among treatment types at alpha = 0.01.												<BR>\n" );
document.write( "												<BR>\n" );
document.write( "	Pill	Syrup	Sleep		Anova: Single Factor							<BR>\n" );
document.write( "	3.9	5.4	1.3									<BR>\n" );
document.write( "	1.4	2	0.7		SUMMARY							<BR>\n" );
document.write( "	4.1	4.8	2.2		Groups	Count	Sum	Average	Variance			<BR>\n" );
document.write( "	5.5	3.8	1.4		Pill	5	17.2	3.44	2.588			<BR>\n" );
document.write( "	2.3	3.5	2.1		Syrup	5	19.5	3.9	1.71			<BR>\n" );
document.write( "					Sleep	5	7.7	1.54	0.383			<BR>\n" );
document.write( "====================================================================									<BR>\n" );
document.write( "					ANOVA				  Source of Variation	SS	df   MS	      F	        P-value	    F crit Between Groups	      15.652	2    7.826  5.015594958	0.026113179 3.885293835	<BR>\n" );
document.write( "Within Groups	      18.724	12   1.560333333(MS)			<BR>\n" );
document.write( "	Total	      34.376	14<BR>\n" );
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document.write( "Ho: The means are equal<BR>\n" );
document.write( "Ha: At least one of the means is different<BR>\n" );
document.write( "Conclusion from the DATA: Since the p-value is greater than 1%, fail<BR>\n" );
document.write( "to reject Ho.<BR>\n" );
document.write( "Conclusion: The means are not all statistically equal at the 1% level of significance.<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" );