document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188357>Question 188357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!!\r<BR>\n" );
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document.write( "There are three hospitals in a municipal area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? Why or why not? <BR>\n" );
document.write( " 	 	 	 <BR>\n" );
document.write( " 	Number of Surgeries Performed<BR>\n" );
document.write( " 	 	 	 <BR>\n" );
document.write( " 	St. Luke's	<BR>\n" );
document.write( "Monday	     14	<BR>\n" );
document.write( "Tuesday	     20	<BR>\n" );
document.write( "Wednesday    16	<BR>\n" );
document.write( "Thursday     18	<BR>\n" );
document.write( "Friday	     20	<BR>\n" );
document.write( " 	 	 	 \r<BR>\n" );
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document.write( "St. vincents<BR>\n" );
document.write( "             18<BR>\n" );
document.write( "             24<BR>\n" );
document.write( "             22<BR>\n" );
document.write( "             20<BR>\n" );
document.write( "             28\r<BR>\n" );
document.write( "\n" );
document.write( "Mercy<BR>\n" );
document.write( "             24<BR>\n" );
document.write( "             18<BR>\n" );
document.write( "             20<BR>\n" );
document.write( "             22<BR>\n" );
document.write( "             24\r<BR>\n" );
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document.write( "Randomized blocks ANOVA	 	 	 <BR>\n" );
document.write( " 	 	 	 	 	 	 <BR>\n" );
document.write( " 	Mean	n	Std. Dev	 	 	 <BR>\n" );
document.write( "20.53333333	17.600 	5	2.608 	Treatment 1	 	 <BR>\n" );
document.write( "20.53333333	22.400 	5	3.847 	Treatment 2	 	 <BR>\n" );
document.write( "20.53333333	21.600 	5	2.608 	Treatment 3	 	 <BR>\n" );
document.write( " 	 	 	 	 	 	 <BR>\n" );
document.write( " 	18.667 	3	5.033 	Block 1	 	 <BR>\n" );
document.write( " 	20.667 	3	3.055 	Block 2	 	 <BR>\n" );
document.write( " 	19.333 	3	3.055 	Block 3	 	 <BR>\n" );
document.write( " 	20.000 	3	2.000 	Block 4	 	 <BR>\n" );
document.write( " 	24.000 	3	4.000 	Block 5	 	 <BR>\n" );
document.write( " 	20.533 	15	3.583 	Total	 	 <BR>\n" );
document.write( " 	 	 	 	 	 	 <BR>\n" );
document.write( "ANOVA table	 	 	 	 	 	 <BR>\n" );
document.write( "Source	SS	   df	MS	F	   p-value	 <BR>\n" );
document.write( "Treatments	66.13 	2	33.067 	4.28	.0546	 <BR>\n" );
document.write( "Blocks	51.73 	4	12.933 	1.67	.2482	 <BR>\n" );
document.write( "Error	61.87 	8	7.733 	 	 	 <BR>\n" );
document.write( "Total	179.73 	14	 	 	 	 <BR>\n" );
document.write( " 	 	 	 	 	 	 	 	 <BR>\n" );
document.write( " \r<BR>\n" );
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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 #141345 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=141345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are three hospitals in a municipal area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? Why or why not? \r<BR>\n" );
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document.write( "Number of Surgeries Performed\r<BR>\n" );
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document.write( "St. Luke's <BR>\n" );
document.write( "Monday 14 <BR>\n" );
document.write( "Tuesday 20 <BR>\n" );
document.write( "Wednesday 16 <BR>\n" );
document.write( "Thursday 18 <BR>\n" );
document.write( "Friday 20 \r<BR>\n" );
document.write( "\n" );
document.write( "St. vincents<BR>\n" );
document.write( "18<BR>\n" );
document.write( "24<BR>\n" );
document.write( "22<BR>\n" );
document.write( "20<BR>\n" );
document.write( "28 <BR>\n" );
document.write( "Mercy<BR>\n" );
document.write( "24<BR>\n" );
document.write( "18<BR>\n" );
document.write( "20<BR>\n" );
document.write( "22<BR>\n" );
document.write( "24 <BR>\n" );
document.write( "Randomized blocks ANOVA \r<BR>\n" );
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document.write( "Mean n Std. Dev <BR>\n" );
document.write( "20.53333333 17.600 5 2.608 Treatment 1 <BR>\n" );
document.write( "20.53333333 22.400 5 3.847 Treatment 2 <BR>\n" );
document.write( "20.53333333 21.600 5 2.608 Treatment 3 \r<BR>\n" );
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document.write( "18.667 3 5.033 Block 1 <BR>\n" );
document.write( "20.667 3 3.055 Block 2 <BR>\n" );
document.write( "19.333 3 3.055 Block 3 <BR>\n" );
document.write( "20.000 3 2.000 Block 4 <BR>\n" );
document.write( "24.000 3 4.000 Block 5 <BR>\n" );
document.write( "20.533 15 3.583 Total \r<BR>\n" );
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document.write( "ANOVA table <BR>\n" );
document.write( "Source SS df MS F p-value <BR>\n" );
document.write( "Treatments 66.13 2 33.067 4.28 .0546 <BR>\n" );
document.write( "Blocks 51.73 4 12.933 1.67 .2482 <BR>\n" );
document.write( "Error 61.87 8 7.733 <BR>\n" );
document.write( "Total 179.73 14 <BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "Ho: the means are equal<BR>\n" );
document.write( "Ha: at least one of the means is different<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "An ANOVA was run against the DATA giving a<BR>\n" );
document.write( "p-value of 0.0546 which means we Fail to reject<BR>\n" );
document.write( "Ho; the means are statistically equal.<BR>\n" );
document.write( "================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );