Final answer:
The question deals with calculating the area under the standard normal curve for specified z-scores using the z-table, which provides the cumulative probability to the left of given z-scores.
Step-by-step explanation:
The question involves finding the area under the standard normal curve for given z-scores. This is achieved using the z-table, which contains accumulated areas to the left for different z-scores under the normal curve. The process entails locating the z-score on the table and noting down the corresponding area value.
- For Z = -0.68, find the area to the left of -0.68 in the z-table.
- For Z = 0.87, find the area to the left of 0.87 in the z-table.
- For Z = -0.54, find the area to the left of -0.54 in the z-table.
- For Z = -1.31, find the area to the left of -1.31 in the z-table.
It is important to note that the area to the right of a z-score can be found by subtracting the left area from 1. The areas can also be utilized to calculate the probability between two z-scores or to determine critical values for hypothesis testing.