Word Count : 313

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Correction Factor (CF) = 0

 Raw Sum of Squares = 660

 Total Sum of Squares = 660

Block Sum of Squares = 232.5

Treatment Sum of Squares = 198 

Error Sum of Squares = 229.5

Sum of Squares due to k = 100

Sum of Squares due to p = 49

Sum of Squares due to kp = 49

 

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Blocks	Yields (lbs per plot)
I	(1) 23	k 25	p 22	kp 38
II	p 40	(1) 26	k 36	kp 38
III	(1) 29	k 20	pk 30	p 20
IV	kp 34	k 31	p 24	(1) 28

Analyse the data and give your conclusions.

Assume that you have to perform a sample survey for Family expenditure of the faculty of Indira Gandhi National Open University. Then explain the main steps involved in the planning and execution of that sample survey.

A sample of 100 villagers is to be drawn from a population of villages A and B. The population means and population mean squares of their monthly wages are given below:

Village	Ni	X̄i	Si2
Collage A	400	60	20
Collage B	200	120	80

Find the number of samples using Proportional and Neyman allocation techniques and compare. Obtain the sample mean and variances for the Proportional Allocation and SRSWOR for the given information. Then Find the percentage gain in precision of variances of sample mean under the proportional allocation over that of SRSWOR.

To determine the yield rate of wheat in a district of Punjab, 6 groups were constructed of 6 plots each. The data is given in the following table:

Plot No.	Group 1	Group 2	Group 3	Group 4	Group 5	Group 6
1	8	6	18	13	17	12
2	13	5	8	7	15	15
3	11	16	6	13	10	11
4	26	5	10	6	21	17
5	13	16	16	7	20	8
6	31	5	20	2	25	10

Select a cluster sample of 3 clusters from the given data and find sample mean.

In a class of Statistics, total number of students is 30. Select the linear and circulur systematic random samples of 10 students. The age of 30 students is given below:

Age:	22	25	22	21	22	25	24	23	22	21	20	21
22	23	25	23	24	22	24	24 21	20	23	21		22
20	20	21	22	25									(5)

By generating 10 uniform random variate U (0, 1) estimate the integral

Recognizing this function as probability density function of N (0, 1), compare the value of  ^ with .

Three varieties A, B and C of wheat are shown in five plots each of the following fields per acre as obtained:

Plots	A	B	C
1	8	7	12
2	10	5	9
3	7	10	13
4	14	9	12
5	11	9	14

Set up a table of analysis of variance and find out whether there is significant difference between the fields of these varieties.