An instructor claims that the variance of SAT critical reading scores for females is different than the variance of SAT critical reading scores for males. The table shows the SAT critical reading scores for 12 randomly selected female students and 12 randomly selected male students. At \(\alpha=0.01\), can you support the instructor's claim?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\),

(b) find the critical value and identify the rejection region,

(c) find the test statistic \(F\),

(d) decide whether to reject or fail to reject the null hypothesis, 

(e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed.