RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a given population, the mean is 200 and the standard deviation is 20. If we take a sample of size 25, what is the mean of the sampling distribution?
A
200
B
16
C
25
D
4
Explanation: 

Detailed explanation-1: -Normal distribution with a mean of 100 and standard deviation of 20. 68% of the area is within one standard deviation (20) of the mean (100).

Detailed explanation-2: -First, take the square of the difference between each data point and the sample mean, finding the sum of those values. Next, divide that sum by the sample size minus one, which is the variance. Finally, take the square root of the variance to get the SD.

There is 1 question to complete.