RESEARCH METHODOLOGY

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STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The Central Limit Theorem states that if the original distribution is (approximately) normal OR the sample size is greater than or equal to ____, then the sampling distribution is approximately normal.
A
30
B
20
C
500
D
80
Explanation: 

Detailed explanation-1: -Key Takeaways. The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population’s distribution. Sample sizes equal to or greater than 30 are often considered sufficient for the CLT to hold.

Detailed explanation-2: -The Central Limit Theorem says that the mean of the sampling distribution of the sample means is. equal to the population mean divided by the square root of the sample size. close to the population mean if the sample size is large.

Detailed explanation-3: -Properties of the Central Limit Theorem As the sample size increases, the sampling distribution converges on a normal distribution where the mean equals the population mean, and the standard deviation equals /√n.

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