True or false, areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.

True.

Step-by-step explanation:

We have been given a statement. We are asked to determine the given statement is true or false.

Statement: Areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.

We know that area under the standard normal curve is equal to 1, so area under normal curve cannot be negative.

We know that a z-score represents that a data point is how many standard deviation above or below mean.

When a data point is less than mean, then z-score will be negative and when a data point is greater than mean, the z-score will be positive.

Therefore, our given statement is true.