Final answer:
To find the value of z if the area to the right of z is 0.9803, we can use the z-table. The z-score is found by looking for the closest z-score that has an area to the left of the given area.
Step-by-step explanation:
To find the value of z if the area to the right of z is 0.9803, we can use the z-table. The z-table provides the area to the left of a z-score. Since we want the area to the right, we can subtract the given area from 1 to get the area to the left. In this case, the area to the left is 1 - 0.9803 = 0.0197. Using the z-table, we can look for the closest z-score that has an area to the left of 0.0197. Let's assume the closest z-score is z1. The area to the left of z1 is 0.0197. Therefore, the area to the right of z1 is 1 - 0.0197 = 0.9803. So, the value of z is approximately z1.