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Normal Probability: Sampling Distribution of Sample Mean

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The population of IQ scores forms a normal distribution with a mean of u=100 and a standard deviation with a mean of sigma=15. What is the probability of obtaining a sample mean greater than m=105 for a random sample of n=9 people? How do I set this problem up, what is the correct formula?

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Solution Summary

The solution provides step-by-step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.

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