STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Any data set of size N has a number of corresponding sampling distributions, for sample sizes n=1 to n=N. What is the size of each of these sampling distributions?
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NCn
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N^n
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NPn
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None of these
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Explanation:
Detailed explanation-1: -According to the central limit theorem, if all possible random samples of size N are drawn from a population with a mean Y and a standard deviation Y, then as N becomes larger, the sampling distribution of sample means becomes approximately normal, with mean Y and standard deviation Y/√N.
Detailed explanation-2: -The sampling distribution of a sample mean is the distribution of all sample means for samples of a fixed size, say n, taken from some population, usually without replacement, although for mathematical convenience, sampling with replacement is investigated first.
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