Final answer:
A z-score of 2.00 corresponds to a position two standard deviations above the mean, placing the value in the top 2.5% of a normally distributed data set.
Step-by-step explanation:
A z-score of z = 2.00 indicates a position in a normal distribution that is two standard deviations above the mean. In terms of the normal distribution, approximately 95% of all values lie within two standard deviations of the mean. This is part of what is known as the empirical rule or the 68-95-99.7 rule, which states that about 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively. Therefore, a z-score of 2 places the value in the top 2.5% of the distribution because the area to the left of a z-score of 2 is 0.9772, or 97.72% of the data set, indicating that the value is higher than 97.72% of all data points in the distribution.