If the mean IQ of a sample of right-handed persons is significantly higher than the mean IQ of a sample of left-handed persons, then which of the following must be true?
A) All right-handed persons must have higher IQs than all left-handed persons.
B) Most right-handed persons must have higher IQs than most left-handed persons.
C) The median IQ of right-handed persons must be higher than the median IQ of left-handed persons.
D) None of the above must be true.

Question

Quizplus · Accepted Answer

A significant difference in means between two groups does not necessarily mean that all individuals in one group have higher scores than all individuals in the other group. Additionally, this difference may not be representative of the majority of individuals within each group, thus option B is also incorrect. Lastly, the median IQ could be higher in one group but still have a significant difference in means with the other group. Therefore, none of the given options must be true.

If the Mean IQ of a Sample of Right-Handed Persons