STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Which of the following gives the standard deviation of a sampling distribution of sample means?
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/√n
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/n
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/(n-1)
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/[ (√n)-1 ]
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Explanation:
Detailed explanation-1: -The standard deviation of the sampling distribution measures how much the sample statistic varies from sample to sample. It is smaller than the standard deviation of the population by a factor of √n. → Averages are less variable than individual observations.
Detailed explanation-2: -2) “the formula for the standard deviation of the sampling distribution of the sample mean, /√n, holds approximately if the population is finite and much larger than (say, at least 20 times) the size of the sample".
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