Posted by **Desire** on Wednesday, December 2, 2009 at 8:44am.

Assume we draw a simple random sample from a population having a mean of 100 and a standard deviation of 16. What is the probability that a sample mean will be within plus-or-minus two of the population mean for each of the following sample sizes?

(a.) n = 50 ____________

(b.) n = 100

(c.) n = 200 ____________

(d.) n = 400 ____________

- statistics -
**PsyDAG**, Wednesday, December 2, 2009 at 9:46am
μ ± 2SE will always include approximately 95% of the possible means. However, the range of the possible means for the 95% will be smaller as the n increases.

SE (Standard Error of the mean) = SD/sq.root of n

(For smaller samples, you might want to use n-1.)

I hope this helps.

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