Final answer:
The percentage of values that lie above 19 in a normal distribution with a mean of 15 and a standard deviation of 4 is approximately 2.5%.
Step-by-step explanation:
The empirical rule states that in a normal distribution, approximately 95% of the values lie within two standard deviations of the mean. In this case, the mean is 15 and the standard deviation is 4. To find the percentage of values that lie above 19, we need to find the percentage that lie within two standard deviations below the mean, which is equal to the percentage that lie above two standard deviations above the mean. So, the percentage of values that lie above 19 is approximately 2.5%.