(Solved): The MCAT consists of four sections: Physical Science (PS), Verbal Reasoning (VR), Biological Scien ...

The MCAT consists of four sections: Physical Science (PS), Verbal Reasoning (VR), Biological Sciences (BS), and Writing (WS). The student receives a separate score for each section. The PS, VR and BS sections are scored on a scale of 1 to 15 . Consider the following MCAT test results for a sample of 15 individuals: (a) Test the assumption of equal variance parameters for PS and BS using the F test at \( \alpha=0.01 \) (b) Form a \( 99 \% \) two-sided confidence interval for the ratio \( \sigma_{P S}^{2} / \sigma_{B S}^{2} \).