in a certain neighborhood the average number of candies received while trick or treating is 50 with a standard deviation of 12 if Isaac received 40 candies calculate his z-score to the nearest thousandth

Answer 1

To calculate the z-score for Isaac receiving 40 candies, we use the formula:

Z = (X - μ) / σ

Where:
Z = Z-score
X = Isaac's number of candies (40)
μ = Average number of candies received in the neighborhood (50)
σ = Standard deviation (12)

Plugging in the values:
Z = (40 - 50) / 12
Z = (-10) / 12
Z ≈ -0.833

Therefore, Isaac's z-score to the nearest thousandth is approximately -0.833.