The Counselor Calculates The Unbiased Estimate Of The Population's Variance To Be 15. What Is The Variance Of The Distribution Of Means?
Answer:
According to the properties of sampling distribution of sample mean;
variance of sample mean= population variance / indication size
This is the relation between variance of sample mean and variance of population when sample is chose next to replacement.
variance of sample mean= 15/ n
When a sample of size 'n' is chosen without replacement from a population have size 'N', then variance of sample mean is;
variance of token mean= population variance / sample size * [(N-n)/(N-1)]
variance of sample mean = 15 / n * [(N-n)/(N-1)]
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