# Z-score of sample means

Compute a z statistic for each, assuming the population has a mean of 100 and a standard deviation of 20: Formula is z = (x - μ) / σ

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

https://brainmass.com/statistics/probability/z-score-of-sample-means-587181

#### 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 - μ) / σ

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.

$2.19