Final answer:
A z-score of 2.3 corresponds to a percentile rank just above 98.16%, as determined by using a z-table or statistical software to find the cumulative probability associated with the z-score.
Step-by-step explanation:
A z-score of 2.3 on a normally distributed measure corresponds to a percentile rank that can be determined by looking at a standard normal distribution table or using statistical software.
The empirical rule, also known as the 68-95-99.7 rule, suggests that a z-score of 2 is approximately at the 97.5th percentile (as 95% are within 2 standard deviations and we assume half of the remaining 5% is on one side).
However, since 2.3 is greater than 2, the percentile rank would be higher than 97.5%. The exact percentile rank can be found using a z-table which provides the area to the left of the z-score.
The z-score of 2.3 would correspond to a percentile rank just above 98.16%, which is the cumulative probability associated with a z-score of 2.3.