Question

the weights of adult men in a hypothetical population are approximately normally distributed about a mean of 175lbs. with a standard deviation of 15lbs. if harvey is at the 95th percentile in weight for adult men, his weight, in pounds, is closest to

Answer 1

In normal distributions, the 95th percentile is 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 mass will be inside 2 standard deviations (respectively) of the mean. In other words, his weight will be in the range 145 - 205 Lbs.