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What does a z-score measure what does standardizing a

Question: What does a z-score measure? What does standardizing a normal distribution do to the mean? Is X ~ N(0, 1) a standardized normal distribution? Why or why not? What is the z-score of x = 12, if it is two standard deviations to the right of the mean? What is the z-score of x = 9, if it is 1.5 standard deviations to the left of the mean?

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