Question 1037876: A sample is chosen randomly from a population that can be described by a Normal model.
1) What's the sampling distribution model for the sample mean?
2) Describe the shape, center and spread of the model you identified in #1.
3) If we choose a larger sample, what is the effect on the sampling distribution model
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The distribution of the sample will also be normal, with a "compressed" shape compared to the population model, depending upon the sample size.
Its mean will be the mean of the population.
Its standard deviation is s/sqrt (n), the sample taken, so the variance is s^2/n.
If a larger sample is taken, the variance will decrease with the square root of the sample size. The center will not change.
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