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Answer :
Final answer:
To find Harvey's weight at the 90th percentile, a z-score is used with the normal distribution. The weight corresponding to this percentile is calculated to be approximately 194 pounds. Hence, option B is the most likely answer.
Explanation:
In order to determine Harvey's weight at the 90th percentile, we would need to use the concept of z-scores in the normal distribution. The z-score for the 90th percentile is approximately 1.28.
We can calculate the weight corresponding to Harvey's percentile using the formula: weight = mean + z*standard deviation.
Substituting in given values, we get weight = 175 + 1.28*15. This calculation yields a weight of approximately 194 pounds, so option B would be closest to this value.
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