The Weights Of Adult Men In A Hypothetical Population Are Approximately Normally Distributed About A Mean Of 175 Lbs. With A Sta

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The Weights Of Adult Men In A Hypothetical Population Are Approximately Normally Distributed About A Mean Of 175 Lbs. With A Sta

ndard Deviation Of 15 Lbs. If Harvey Is At The 95th Percentile In Weight For Adult Men, His Weight, In Pounds, Is Closest To

Mathematics

1 answer:

Vanyuwa [196] · Answer 1 · 2022-03-23T00:17:35+03:00

In normal distributions, the 95th percentile means that a value exists within 2 standard deviations of the mean.

The mean is 175 Lbs and SD is 15 Lbs. This means that Harvey's weight will be within 2 standard deviations (each way) of the mean. I.e. his weight will be in the range 145 - 205 Lbs.