Which of the following statements are TRUE about the normal distribution? Check all that apply. The area to the left of a z-score plus the area to the right of that same $z$-score will always equal 1. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. A data value with $z$-score $=-1.5$ is located 1.5 standard deviations below the mean. The mean corresponds to the z-score of 1. A z-score is the number of standard deviations a specific data value is from the mean of the distribution.

Step 1 ：The question is asking about the properties of a normal distribution and z-scores.

Step 2 ：In a normal distribution, the total area under the curve is 1. Therefore, the area to the left of a z-score plus the area to the right of that same z-score will always equal 1.

Step 3 ：The Empirical Rule applies to all values in a normal distribution, not just those exactly 1, 2, or 3 standard deviations away from the mean.

Step 4 ：A z-score of -1.5 means the data value is 1.5 standard deviations below the mean.

Step 5 ：The mean of a normal distribution corresponds to a z-score of 0, not 1.

Step 6 ：A z-score is indeed the number of standard deviations a specific data value is from the mean of the distribution.

Step 7 ：\(\boxed{\text{The first, third, and fifth statements are true. The second and fourth statements are false.}}\)