Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
