based on a data from college scored on a certain test are normally distributed with a mean of 1538 and a standard deviation of 330

Answer 1

if the data are normally distributed you can use the standardized normal distribution tables (z table) and the formula for the z statistic Z = (X- mu) / sigma where mu is the mean and sigma is the standard deviation. If you tell me what you want to test , instead of just identifying the distribution (mu = 1538, sigma = 330) i can use the formula to answer that.