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Answer :
Final answer:
Without knowing the mean and standard deviation of the population it's impossible to calculate exact z-scores. However, both individuals are relatively tall for their respective genders, with the man likely having a higher z-score. Therefore, he is relatively taller.
Explanation:
In order to answer your question, we first need to convert the heights into the same units. Noting that 1 foot equals to 12 inches, we find that the man is 6*12 + 3 = 75 inches tall, while the woman is 5*12 + 11 = 71 inches tall.
To compute a z-score, we need to know the mean height and the standard deviation of the population. Unfortunately, these are not stated in your question. However, the z-score is essentially a measure of how many standard deviations an individual measurement (in this case height) deviates from the mean. Higher z-scores indicate measurements that are further from the mean.
Though without the mean and standard deviation, we can't assign exact z-scores, we can infer based on averages that the man is taller than most (his z-score would probably be positive), while the woman is also relatively tall (her z-score would likely be positive too, though probably lower than that of the man).
Therefore, without specific data, we can't select a precise z-score from your given options. Nonetheless, we can assert that the 6 foot 3 inch American man is relatively taller compared to the 5 foot 11 inch American woman.
Learn more about Z-scores here:
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