Which of the following is not true? Choose the correct answer below. A. A z-score is an area under the normal curve. B. If values are converted to standard \( z \)-scores, then procedures for working with all normal distributions are the same as those for the standard normal distribution. C. A z-score is a conversion that standardizes any value from a normal distribution to a standard normal distribution. D. The area in any normal distribution bounded by some score \( x \) is the same as the area bounded by the equivalent \( z \)-score in the standard normal distribution.
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Bonus Knowledge
A z-score is indeed a statistical measure that indicates how many standard deviations a data point is from the mean, but it is not an area under the normal curve—it’s a single value representing a position on that curve. So it’s safe to say that option A falls short of the mark! If you're diving deeper into z-scores, consider this fun fact: They play a vital role in fields like psychology and education, where they're used to compare test scores from different distributions. It helps normalize data to assess performances fairly—turning chaotic numbers into a beautiful symphony of normality!