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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