Question

Ahmed works for an organization whose employees had an average income this past year of $28,000 with a variance of $900,000. How much did Ahmed earn this past year if his z-score is – 0.8?

Answer 1

Ahmed earned $4,000 in the past year.

Step-by-step explanation:

To determine how much Ahmed earned in the past year, we can use the z-score formula:
z = (X - mean) / standard deviation
By rearranging the formula, we can solve for X:
X = (z * standard deviation) + mean
Substituting the given values:
X = (-0.8 * sqrt(900,000)) + 28,000
Calculating the earnings:
X = -0.8 * 30000 + 28000
X = -24000 + 28000
X = $4,000
Therefore, Ahmed earned $4,000 in the past year.