Analysis of variance for the data, Applied Statistics

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Analysis of Variance for the data:

Draw a random sample of size 25 from the following data :

(a) With Replacement and  (b) Without Replacement and obtain Mean and Variance.

23      24     43     37     26     29     18     23     24     25

43      37     29     49     41     23     34     28     35     39

23      37     43     41     26     34     18     35     24     42

37      24     29     43     49     37     41     25     23     39

34      18     23     39     18     35     29     28     26     23

21      26     36     31     34     56     26     48     36     41

32      43     25     39     29     27     35     18     26     31

21      18     29     41     26     43     36     39     37     28

18      28     23     35     42    24     34     46     57      54

22      31     36     25     20     37     24     19     39     22

 

Ques: Carry out the Analysis of Variance for the data given below and also Test the significance of the Treatment differences.

The following table shows the gains in weight of pigs in a comparative feeding trial. The five lots of pigs represent five different treatments and there were 10 pigs in each lot. Gains in weight of pigs in a comparative feeding trial.

Replicate

Lot 1

Lot 2

Lot 3

Lot 4

Lot 5

1.

165

168

134

185

201

2.

156

188

156

195

189

3.

159

180

189

156

173

4.

167

166

138

201

193

5.

170

170

153

165

164

6.

146

161

190

175

160

7.

150

171

160

187

200

8.

151

169

172

177

142

9.

164

179

142

166

184

10.

158

191

155

165

149


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