Final answer:
The Z-score associated with an area of 0.7291 under the normal curve is not specifically listed among the given options. The closest values suggest it is between options a and b, but with the options provided, an accurate choice cannot be made without consulting a Z-table or statistical software.
Step-by-step explanation:
The student's question refers to identifying the Z-score that corresponds to an area of 0.7291 under the standard normal distribution curve. To find the Z-score associated with a given area under the normal curve, one can use a Z-table or a statistical software. Generally, the Z-table lists the areas to the left of the Z-score.
Based on the information provided, we should refer to a Z-table or calculator to determine the Z-score for the area 0.7291. Since it's not an exact value found in most tables, we would normally look for the closest area in the Z-table and infer the value. However, given the options a. 0.6, b. 0.61, c. 0.01, and d. 0.7642, we can determine that none of these correspond to an area of 0.7291, which should be between 0.6 and 0.7. The closest value to 0.7291 is between options a and b, but without the exact Z-score listed, we cannot definitively select one of the responses. Therefore, it is possible that there is a potential error in the options provided.