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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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)
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
|
The following data represent the number of units of production per day turned out by 5 different workers using four different types of machines:
| Workers | Machine Type | |||
| A | B | C | D | |
| 1 2 3 4 5 | 54 56 44 53 48 | 48 50 46 48 52 | 57 62 54 56 59 | 46 53 42 43 49 |
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 |
Generate a complete cycle for the LCG given xi = (12 xi-1 + 6) Mod 11 with x0 = 06 . A man tosses an unbiased coin 10 times. Using the first 10 random numbers generated above, obtain a sequence of heads and tails.
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 |
Select a sample of 3 cluster and calculate the sample cluster mean c