RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The sampling distribution of a statistic is ____
A
Using repeated samples and finding a probabilitity
B
The distribution of values taken by a statistic in all possible samples of the same sample size from the same population
C
The way that sample results differe from each other
D
the distribution of values in a sample of size n
Explanation: 

Detailed explanation-1: -The sampling distribution of a statistic is the distribution of that statistic, considered as a random variable, when derived from a random sample of size n . It may be considered as the distribution of the statistic for all possible samples from the same population of a given size.

Detailed explanation-2: -A Sampling distribution is the distribution of values of a particular statistic computed from all possible samples of the same size from the same population. The discussion of sampling distributions and all subsequent theories related to statistical inference are based on repeated samples from the same population.

Detailed explanation-3: -The mean of the sampling distribution of the mean is the mean of the population from which the scores were sampled. Therefore, if a population has a mean , then the mean of the sampling distribution of the mean is also . The symbol M is used to refer to the mean of the sampling distribution of the mean.

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