Final answer:
The probability is the area under the normal distribution curve between z-scores of -1.52 and -0.34, calculated by subtracting the area to the left of -1.52 from the area to the left of -0.34 in a z-table.
Step-by-step explanation:
The probability that a data value in a normal distribution is between a z-score of -1.52 and a z-score of -0.34 can be found by using a z-table to look up the area to the left of each z-score and then finding the difference between these two areas. First, we determine the area to the left of the z-score -1.52 and the area to the left of the z-score -0.34 using a z-table. Then, we subtract the smaller area from the larger to obtain the probability of a data value falling between these two values.
Assuming the z-table provides the area to the left for the z-score of -1.52 to be A1 and for the z-score of -0.34 to be A2, the probability we are looking for would be A2 - A1. Remember to express the final answer as a percentage rounded to the nearest tenth.