A random variable X has mean mu = 50 and standard deviation sigma = 8. What is the Z-score corresponding to a raw score of X = 66?
Answer and explanation
Correct answer: D. +2.0
The Z-score standardizes a raw value according to Z = (X - mu) / sigma. Substituting values: Z = (66 - 50) / 8 = 16 / 8 = +2.0 (the value lies exactly 2.0 standard deviations above the population mean).
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