Question

Ring sizes typically range from about 3 to about 14. Based on what you know about gender differences, if we randomly select a person, are the event that the ring size is smaller than 5 and the event that the person is a male independent or associated. Explain.

Answer 1

Regarding the statistical relationship between ring size and gender, there may be some correlation, but it's not absolute. Some men may have small fingers and wear smaller ring sizes, while some women may have larger fingers and wear larger ring sizes. Therefore, we cannot assume that the event of a ring size being smaller than 5 is dependent or independent of the person's gender.

To determine whether the events are independent or dependent, we would need more information about the population from which the person was randomly selected. If there is a significant difference in the proportion of men and women who wear ring sizes smaller than 5, then the events may be dependent. However, without additional information, we cannot make any conclusions about the relationship between ring size and gender.