Question

The mean length of an adult female’s hand is 6.8 inches, measured from the tip of the longest finger to the crease under the palm, with standard deviation of 0.276 inches. The distribution of the adult female hand length is approximately normally distributed.

(a) What proportion of adult females have hands less then 7 inches long?

(b) What proportion of adult females have hands between 6 and 6.5 inches long?

(c) What is the shortest hand length that is in the largest 10% of all female hand lengths?

Answer 1

Calculation from z normal distribution.