Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adulthood, studies show that noses and ears continue to grow larger throughout our lifetime. In one study 1 examining noses, researchers report "Age significantly influence all analyzed measurements:" including volume, surface area, height, and width of noses. The gender of the 859 participants in the study was also recorded, and the study reports that "male increments in nasal dimensions were larger than female ones."the study indicates that "p<0.01."

a. State the hypotheses. Your answer should be an expression composed of symbols

b. Interpret the conclusion in context.
i. We have evidence that males have bigger noses than females, on average.
ii. We do not have evidence that males have bigger noses than females, on average.
iii. We have evidence that males and females have the same size noses, on average.
iv. We do not have evidence that males and females have the same size noses, on average.