Question

if an adult male is told that his height is within 2 standard - deviations of the mean of the normal distribution of heights of adult males, what can be assumed? a. his height measurement is in the same range as about 99.7% of the other adult males whose heights were measured. b. his height measurement is in the same range as about 95% of the other adult males whose heights were measured. c. he is taller than about 95% of the other men whose heights were measured. d. he is taller than about 99.7% of the other men whose heights were measured.

Explanation:

Step1: Recall normal - distribution properties

In a normal distribution, approximately 95% of the data lies within 2 standard deviations of the mean, and approximately 99.7% of the data lies within 3 standard deviations of the mean.

Step2: Analyze the given information

The adult male's height is within 2 standard deviations of the mean of the normal distribution of heights of adult males. This means his height measurement is in the same range as about 95% of the other adult males whose heights were measured.

Answer:

B. His height measurement is in the same range as about 95% of the other adult males whose heights were measured.