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sampling distribution of mean

A sample of size n is selected at random from an infinite population. As n increases, which of the following statements are true?
A) The population standard deviation decreases
B) The standard error of the sample mean decreases
C) The population standard deviation increases
D) The standard error of the sample mean increases

A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at random from this population. The standard error of the sample mean equals:
A) 2.50
B) 12.50
C) 1.343
D) 1.50

If all possible samples of size n are drawn from an infinite population with a mean of 15 and a standard deviation of 5, then the standard error of the sample mean equals 1.0 only for samples of size
A) 5
B) 15
C) 25
D) 75

Solution Summary

The solution provides step by step method for the calculation of sampling distribution of mean . Formula for the calculation and Interpretations of the results are also included.

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