RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which of the following gives the standard deviation of a sampling distribution of sample means?
A
/√n
B
/n
C
/(n-1)
D
/[ (√n)-1 ]
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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