Math  /  Statistics

Question Compare the z-scores of the tallest (230230 cm) and shortest (136.6136.6 cm) men, given a mean of 175.78175.78 cm and standard deviation of 6.016.01 cm. The man with the more extreme z-score had the more extreme height.

Studdy Solution
Since ztallest>zshortest|z_{\text{tallest}}| > |z_{\text{shortest}}|, the tallest man had the more extreme height.
The zz score for the tallest man is z=9.02z=9.02 and the zz score for the shortest man is z=6.52z=-6.52, the tallest man had the height that was more extreme.

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