Final answer:
To create a z-table from a set of numbers, you need to arrange the numbers in ascending order, calculate the z-score for each number, and round the z-scores to one decimal place.
Step-by-step explanation:
To create a z-table, you need to organize the given set of numbers in ascending order. The set {3, 4, 5, 2, 0, -4, 7, 9} can be written as -4, 0, 2, 3, 4, 5, 7, 9. Next, calculate the z-score for each number using the formula z = (x - mean) / standard deviation. Assuming the mean is 0 and the standard deviation is 1, the z-scores for each number are: -1.41, -0.71, -0.35, 0, 0.35, 0.71, 1.06, 1.41. Finally, round each z-score to one decimal place to create the z-table: -1.4, -0.7, -0.4, 0.0, 0.4, 0.7, 1.1, 1.4.