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# Z-score of sample means

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Compute a z statistic for each, assuming the population has a mean of 100 and a standard deviation of 20: Formula is z = (x - Î¼) / Ïƒ
a. sample of 43 scores has a mean of 101: - 2.9
b. sample of 60 scores has a mean of 96: - 1.8
c. sample of 29 scores has a mean of 100: -3.55

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#### Solution Preview

Compute a z statistic for each, assuming the population has a mean of 100 and a standard deviation of 20: Formula is z = (x - Î¼) / Ïƒ
a. sample of 43 scores has a mean of 101: - 2.9

Solution. Let Xbar be the sample mean. Then Xbar ...

#### Solution Summary

This solution consists of details of finding the z-scores of sample means for different sample sizes.

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