RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which sample size for a sampling distribution will have the smallest standard deviation?
A
n = 10
B
n = 200
C
n = 400
D
n = 1000
Explanation: 

Detailed explanation-1: -Finally, divide both sides by 0.0001 to find the value of n: n = 0.01 / 0.0001 n = 100 So, a sample size of 100 is needed for the standard deviation of the sampling distribution to be 0.01 grams per mile.

Detailed explanation-2: -Bigger samples produce smaller standard errors. The relation is an inverse square root relation: increasing the sample size by a factor of C decreases the standard error by a factor of one over the square root of C.

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