sample of n=64 scores is obtained from population with standard deviation =15 sample mean is 10 pts greater than the poulation mean what is zscore for sample mean
Z-score formula:
z = (x - mean)/sd
With your data:
z = 10/15 = 0.67 (rounded)
To find the z-score for the sample mean, we need to know the population mean and the standard deviation of the population.
Given:
Sample size (n) = 64
Population standard deviation (σ) = 15
Sample mean (X̄) = 10 (greater than the population mean)
However, the population mean (μ) is not provided in the given information. Without the population mean, we cannot calculate the z-score for the sample mean.
The formula to calculate the z-score for the sample mean is:
z = (X̄ - μ) / (σ / √n)
To find the z-score, we need:
1. Sample mean (X̄)
2. Population mean (μ)
3. Population standard deviation (σ)
If you have the population mean, please provide it so that we can calculate the z-score for the sample mean.