Question

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. (5 points)
Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points)

Answer 1

The list of the buildings arranged in the order from shortest to tallest

• Marina 101
• The Wuhan Center
• The Zifeng Tower
• The Shanghai tower

The heights in feet shows that

2072 feet(is the tallest) > 1,476 feet >  1,437 feet > 1400 feet (is the least)

How to arrange the buildings from shortest to tallest

Given that the z scores are 127 for The Shanghai tower and -0.84 for Marina

z score = (X - mean) / standard deviation

X = z score * standard deviation + mean

The Shanghai tower

= 1.27 * 318.31 + 1667.25 = 2071.5037 feet

Marina 101

= -0.84 * 318.31 + 1667.25 = 1399.8696 feet

The Zifeng Tower

= 1,476 feet

The Wuhan Center

= 1,437 feet

comparing the heights

2072 feet > 1,476 feet >  1,437 feet > 1400 feet

Learn more on z scores at:

brainly.com/question/24213960

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