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 49.
b) RBD is suitable in situations where it is not possible to divide the experimental material into a number of homogeneous blocks.
c) If experimental error is reduced considerably and the efficiency of the design is decreased.
d) If strata are heterogeneous then stratified sampling schemes provides estimates with greater precision.
e) As we increase the sample size, representativeness of the population by the sample decreases.
Answer :
Word Count : 214
a) False. The number of possible samples of size 2 drawn without replacement from a population of size 7 is given by combinations, that is ( \binom{7}{2} = \frac{7 \times 6}{2} = 21 ), not 49. The value 49 would arise if sampling were done with replacement and order were considered, which is ___ _______ ________ _________ __________ _______.
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a) False. The number of possible samples of size 2 drawn without replacement from a population of size 7 is given by combinations, that is ( \binom{7}{2} = \frac{7 \times 6}{2} = 21 ), not 49. The value 49 would arise if sampling were done with replacement and order were considered, which is ___ _______ ________ _________ __________ _______.
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