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Background: Anorexia is well known to bedifficult to treat. The data set provided below contains data onthe weight gain for three groups of young female anorexia patients.These groups include a control group, a group receiving cognitivebehavioral therapy and a group receiving family therapy.Source: Hand, D. J., Daly, F., McConway, K., Lunn,D. and Ostrowski, E. eds (1993) A Handbook of Small Data Sets.Chapman & Hall, Data set 285 (p. 229).

Directions: Click on the Data button below todisplay the data. Copy the data into a statistical software packageand click the Data button a second time to hide it. Then perform ananalysis of variance (ANOVA) to determine whether or not thedifferences in weight gain between the treatment groups isstatistically significant.

Data

Control	CBT	Family
-0.5	1.7	11.4
-9.3	0.7	11
-5.4	-0.1	5.5
12.3	-0.7	9.4
-2	-3.5	13.6
-10.2	14.9	-2.9
-12.2	3.5	-0.1
11.6	17.1	7.4
-7.1	-7.6	21.5
6.2	1.6	-5.3
-0.2	11.7	-3.8
-9.2	6.1	13.4
8.3	1.1	13.1
3.3	-4	9
11.3	20.9	3.9
0	-9.1	5.7
-1	2.1	10.7
-10.6	-1.4
-4.6	1.4
-6.7	-0.3
2.8	-3.7
0.3	-0.8
1.8	2.4
3.7	12.6
15.9	1.9
-10.2	3.9
	0.1
	15.4
	-0.7

1. State the null and alternativehypotheses.
   
   
   
2. Compute the test statistic. Document how SSTrand SSE were computed. Use 4 decimal places for the sample means,sample standard deviations and the grand mean and round youranswers for SSTr and SSE to 2 decimal places.
   
   Use the values for SSTr and SSE to complete the following ANOVAtable. Round each of your answers to 2 decimal places.
   

   Source	S.S.	df	M.S.	F
   Treatment
   Error
   Total

3. Compute the p-value. Provide the nameof the distribution and the parameters used to compute thep-value. Then enter your answer rounded to 4 decimalplaces.
   
   
   
4. Interpret the results of the significancetest. Is this result statistically significant? Is thisresult important from a practical perspective?