Multiple Choice Which of the following statements is not true for sampling distr

Question

Multiple Choice Which of the following statements is not true for sampling distributions? O A sampling distribution is necessary for making confidence statements about an unknown population parameter O Depending on the population, it may not be possible to express the sampling distribution for a statistic in closed form mathematically. A sampling distribution depends on the nature of the population being sampled Depending on the population, it may not be possible to express the sampling distribution for a statistic in O closed form mathematically (i.e. with a specific functional expression). O None of the above

Explanation / Answer

Two sentences are reapeted with the same meaning. Sentence B) and D).

And these two statements are not true for sampling distributions,

That is, The following sentences are not true for sampling ditribtuion.

B) Depending on the population, it may not be possible to express the sampling distribution for a statistic in closed form mathematically and

D) Depending on the population, it may not be possible to express the sampling distribution for a statistic in closed form mathematically (i.e with specific functional expression)

Explanation - If any sampling distribution is not able to expressed in closed mathemtical form then we can use ASYMPTOTIC INFERENCE, MONTE CARLO SIMULATIONS and BOOTSTRAP METHODS to represent it approximatly in mathematical closed form.

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