gicen a population mean of 135 and a standard deviation of 5 what data point x would result in a z-score of 1.6

Answer 1

To find the data point x that would result in a z-score of 1.6, we can use the formula for calculating z-score:

z = (x - μ) / σ

Given:
Population mean (μ) = 135
Standard deviation (σ) = 5
Z-score (z) = 1.6

We can rearrange the formula to solve for x:

x = μ + z * σ
x = 135 + 1.6 * 5
x = 135 + 8
x = 143

Therefore, the data point x that would result in a z-score of 1.6 is 143.