RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If a sampling distribution of sample means has a sample size less than 30:
A
the shape will be Normal
B
the shape will be between the shape of the population and Normal
C
the shape will not be Normal
D
there is no way we can detrmine the shape
Explanation: 

Detailed explanation-1: -If the population is normal, then the result holds for samples of any size (i..e, the sampling distribution of the sample means will be approximately normal even for samples of size less than 30).

Detailed explanation-2: -For practical purposes, the shape of the t-distribution is identical to the normal distribution when sample size is large. However, when sample sizes are small (below 30 subjects), the shape of the t-distribution is flatter than that of the normal distribution, and the t-distribution has greater area under the tails.

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