An Investigator is interested in finding the level of knowledge about the history of India of 4 different schools in a city. A test is given to the 5, 6, 7, 6 students of 8th class of 4 schools, respectively. Their scores out of 10 are given as below:
|
School I: School II: School III: School IV: |
8
6
6
5 |
6
4
5
6 |
7
6
5
6 |
5
5
6
7 |
9
6
7
6 |
7
8
7 |
5
|
Test the equality of Average Scores of the 4 Schools at 5% level of significance.
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Following U(0,1) were generated by a random number generation method:
| 251
597
449
464 | 769
729
998
447 | 153
012
919
279 | 575
922
470
413 | 390
691
372
494 | 335
817
851
972 | 066
064
643
983 | 104
539
509
432 | 200
419
913
368 | 019
305
445
574 |
Below are given the weights of 5 students:
| S. No | 1 2 3 4 5 |
| Weights (Kg) | 56 49 66 64 55 |
i) Sample mean ()is unbiased for Population mean
iii)
The height of the plants are given in the table given below for an experiment involving six treatments in four randomised blocks. The treatments are indicated by numbers with brackets:
| Blocks | Heights of Plants (cms) | |||||
| I | (1) 24.7 | (3) 27.7 | (2) 20.6 | (4) 16.2 | (5) 16.2 | (6) 24.9 |
| II | (3) 22.7 | (2) 28.8 | (1) 27.3 | (4) 15 | (6) 22.5 | (5) 17 |
| III | (6) 26.3 | (4) 19.6 | (1) 38.5 | (3) 36.8 | (2) 39.5 | (5) 15.4 |
| IV | (5) 17.7 | (2) 31 | (1) 28.5 | (4) 14.1 | (3) 34.9 | (6) 22.6 |
An Investigator is interested in finding the level of knowledge about the history of India of 4 different schools in a city. A test is given to the 5, 6, 7, 6 students of 8th class of 4 schools, respectively. Their scores out of 10 are given as below:
|
School I: School II: School III: School IV: |
8
6
6
5 |
6
4
5
6 |
7
6
5
6 |
5
5
6
7 |
9
6
7
6 |
7
8
7 |
5
|
Below is given the plan and yields of 22 factorial experiment involving 2 factors A and B each at two levels 0 and 1:
| Block I | (1) 117 | b 106 | ab 129 | a 124 |
| Block II | ab 124 | (1) 120 | b 117 | a 124 |
| Block III | (1) 111 | a 127 | b 114 | ab 126 |
| Block IV | ab 125 | a 131 | b 112 | (1) 108 |
| Block V | ab 95 | b 97 | (1) 73 | a 128 |
| Block VI | a 158 | (1) 81 | ab 125 | b 117 |
State whether the following statements are true or false and also give the reason in support of your answer:
a) If the SSE in a two way ANOVA having 4 rows and 5 columns is given as 48, then the MSSE will be 4.
b) If there is one missing value in RBD with 3 blocks and 4 treatments, then the total of degrees of freedom will be 10.
c) In a sequence of random numbers, generated through LCG”
x i = (5 x (i-1) + 3) Mod(16), with
x 0 = 5" the x1 , x2 and x3 will be 11, 14, 13.
d) The probability of selection of a sample of n from the population by SRSWOR is 1/ Nn .
e) In 23 factorial design, there 2 factors each at 3 levels.
Given the following population, allocate a sample of size n = 10 by optimum allocation:
| Stratum I : | 2 4 4 6 6 8 |
| Stratum II : | 8 8 12 16 16 18 |
| Stratum III : | 16 16 18 22 22 26 |