Final answer:
The two scores that divide a normal distribution such that 68.26% of the general population falls within them, when the mean is 100 and the standard deviation is 15, are 85 and 115.
Step-by-step explanation:
To find the two scores that divide a normal distribution such that 68.26% of the general population falls within them, we can use the empirical rule.
The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.
Given that the mean is 100 and the standard deviation is 15, we can calculate the two scores as follows:
The lower score would be 100 - 15 = 85, and the upper score would be 100 + 15 = 115. Therefore, 68.26% of the general population falls between 85 and 115.