The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zifeng Tower and the Wuhan Center have heights of 1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and −0.84, respectively.

Part A: List these four buildings in order from shortest to tallest.

Part B: Mathematically explain your reasoning and be sure to include all necessary calculations.