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Let's simplify the problem using the standard normal distribution and the z-formula. First, we find the corresponding z-values for 19.5 and 20.5:
Z1 = 19.5-17 / 0.6 = 2.5/0.6 ≈ 4.167
Z2 = 20.5-17 / 0.6 = 3.5/0.6 ≈ 5.833
Then, we look up these z-values in a standard normal distribution table and find the corresponding probabilities. However, since these z-values are quite large, the probability that the sample mean is between 19.5 and 20.5 is practically zero.