Question

State whether the following statements are true or false and also give the reason in support of your answer:
(a) The total number of all possible samples of size 2 without replacement from a population of size 7 is 21.
(b) Consecutive 3 random numbers starting from 8937 by 'middle square method' are 8937, 8699, 6726.
(c) RBD is suitable in situations where it is not possible to divide the experimental material into a number of homogeneous blocks.
(d) As we increase the sample size, representativeness of the population by the sample decreases.
(e) In a big hall, there are 50 rows and each row has 60 students. A research scholar selects 10 rows randomly and then randomly selects 15 students from each selected row. It is an example of cluster sampling procedure

11 Mar 2022
Answer :
Word Count : 188

(a)True

Since , The total number of all possible samples of size 2 without replacement from a population of size 7

= 7C2 = (7x6x5!)/(2x1)x(7-2)! = (7x6x5!) / 2 x 5! = 7x3 = 21

 

(b) . True

As by middle square method,

(8937)2 = 79869969 

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