A random sample tends not to be an exact replica of its parent population. This

Question

A random sample tends not to be an exact replica of its parent population. This fact has a number of implications. Indicate which are true and which are false.

a) All possible random samples can include a few samples that are exact replicas of the population, but most samples aren’t exact replicas.

b) A more representative sample can be obtained by handpicking (rather than randomly selecting) observations.

c) Insofar as it misrepresents the parent population, a random sample can cause an erroneous generalization.

d) In practice, the mean of a single random sample is evaluated relative to the variability of means for all possible random samples.

Explanation / Answer

According to the above statement , we have,

(a) , (c) , (d) are TRUE

(b) is FALSE

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