Question

which of the following is not true?
choose the correct answer below
a. a z - score is a conversion that standardizes any value from a normal distribution to a standard normal distribution
b. a z - score is an area under the normal curve
c. 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
d. 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

Explanation:

A z - score is a measure of how many standard deviations an element is from the mean and is a conversion to standardize values from a normal distribution to a standard normal distribution. The area under the normal curve is a probability value, not a z - score. The area bounded by a score x in a normal distribution is equivalent to the area bounded by its equivalent z - score in the standard normal distribution, and once values are converted to z - scores, procedures for normal distributions are the same as for the standard normal distribution.

Answer:

B. A z - score is an area under the normal curve.