A manurial trial with six levels of Farmyard Manure (FYM) was carried out in a randomised block design with 4 replications at the experimental station Junagarh with a new study the rate of decomposition of organic matters in soil and its synthetic capacity in soil on cotton crop. The yield per plot in kg for different levels of FYM and replications is given below:
Cotton Yield Per Plot (in Kg)
| Levels of FYM | Replications | |||
| I | II | III | IV | |
| 1 | 6.90 | 4.60 | 4.40 | 4.81 |
| 2 | 6.48 | 5.57 | 4.28 | 4.45 |
| 3 | 6.52 | 7.60 | 5.30 | 4.45 |
| 4 | 6.90 | 6.65 | 6.75 | 7.75 |
| 5 | 6.00 | 6.18 | 6.50 | 5.50 |
| 6 | 7.90 | 7.57 | 6.80 | 6.62 |
Carry out the Analysis of Variance test and draw the conclusions.
We are given a Randomized Block ________ _________ ______ _______ ____.
______ _____ _____ ___ ___ ________ ___ ______ ___.
_________ _________ ________ __________ _________ _________ ________ _____ _______ _________ ____ ____.
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In a population of size N = 5, the values of the population characteristics are 1, 3, 5, 7, 9, a sample of size 2 is drawn. Verify that is an unbiased estimate of
and
is equal to
In order to compare the mileage yields of 3 kinds of Gasoline, several tests were run, and the following results were obtained:
| Gasoline A: | 19 | 21 | 20 | 18 | 21 | 21 |
| Gasoline B: | 23 | 20 | 22 | 20 | 24 | 23 |
| Gasoline C: | 20 | 17 | 21 | 19 | 20 | 17 |
In a class of Statistics, total number of students is 30. Select the linear and circular systematic random samples of 12 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
In order to compare the mileage yields of 3 kinds of Gasoline, several tests were run, and the following results were obtained:
| Gasoline A: | 19 | 21 | 20 | 18 | 21 | 21 |
| Gasoline B: | 23 | 20 | 22 | 20 | 24 | 23 |
| Gasoline C: | 20 | 17 | 21 | 19 | 20 | 17 |
State whether the following statements are true or false and also give the reason in support of your answer:
(a)
(b) The total number of all possible samples of size 3 without replacement from a population of size 7 is 21.
(c) While analysing the data of a 5 × 5 Latin Square design the d.f. for ESS is equal to 16
(d) In a Two-way Analysis of Variance test with 5 observations per cell having 4 blocks and 4 treatments the degree of freedom for the total variation is 64.
(e) The probability of selection of a sample of n from the population by SRSWOR is 1/ N
The following data is the data pertaining to a feeding trial on sheep. Treatments
A: Grazing only
B: Grazing + Maize Supplements
C: Grazing + Maize + Protein Supplement P1
D: Grazing + Maize + Protein Supplement P2
E: Grazing + Maize + Protein Supplement P3
Layout and Wool Yield (100 gm) is given as:
| 32(D) | 33(E) | 30(C) | 28(B) | 24(A) |
| 51(C) | 45(D) | 41(A) | 45(E) | 29(B) |
| 41 (E) | 29 (A) | 24 (B) | 36 (D) | 35 (C |
| 38 (B | 39(C) | 42(E | 23(A) | 37(D) |
| 38(A | 24(B) | 21(D) | 29(C) | 26(E) |
For the given data the yield of the treatment 2 in 3rd block is missing. Estimate the missing value and analyse the data.
| Treatments | Blocks | |||
| I | II | III | IV | |
| 1 | 105 | 114 | 108 | 109 |
| 2 | 112 | 113 | Y | 112 |
| 3 | 106 | 114 | 105 | 109 |