## 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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