Final answer:
To find a possible tutor age that would give a z-score of 1.14, we can use the z-table and the cumulative distribution function (CDF) of the normal distribution.
Step-by-step explanation:
In order to find a possible tutor age that would give a z-score of 1.14, we need to use the z-table to find the corresponding area to the left of the z-score.
Looking up the z-score of 1.14 in the z-table, we find that the area to the left is approximately 0.8729.
Subtracting this area from 1 gives us 0.1271. This represents the area to the right of the z-score. To find a possible age that corresponds to this area, we can use the cumulative distribution function (CDF) of the normal distribution.