Average Population 1. The median height of the 15-year-old male population of a certain state is 67.4 inches with an SD of 1.3 inches. A random sample of 400 15-year-old males from one of the cities in this state gave an average height of 68 inches. Is this an indication that 15-year-old males in this city are taller than the state average height? Test the hypothesis with a significance level a = .05.