RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the mean of the sampling distribution?
A
400
B
40
C
25
D
8
Explanation: 

Detailed explanation-1: -For samples of any size drawn from a normally distributed population, the sample mean is normally distributed, with mean X= and standard deviation X=/√n, where n is the sample size.

Detailed explanation-2: -Add up the sample items. First, you will need to count how many sample items you have within a data set and add up the total amount of items. Divide sum by the number of samples. The result is the mean. Use the mean to find the variance. Use the variance to find the standard deviation. 13-Apr-2023

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