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 9 randomly selected female students and 13 randomly selected male students. At α = 0.01, can you support the instructor’s claim?

(a) Identify the claim and state H₀ 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. If convenient, use technology.

Transcribed Image Text:

Female 480 600 560 310 610 800 680 730 340 630 520 690 540 Male 360 740 530 520 380 560 460 400 630