A psychologist is studying the effect of background music on concentration levels. One group of students took a test with classical music playing in the background, while another group took the same test with no music. The scores were analyzed for variability. The results are as follows:
Classical Music: $n=28$, $\bar{x}=75.2$, $s=8.1$
No Music: $n=30$, $\bar{x}=78.5$, $s=5.6$
At the $0.05$ significance level, test the claim that the variances of test scores are the same for both groups. Assume that the samples are from normally distributed populations.

• A. There is insufficient evidence to warrant rejection of the claim that the variances of test scores are the same for both groups.
• B. There is sufficient evidence to warrant rejection of the claim that the variances of test scores are the same for both groups.
• C. There is sufficient evidence to support the claim that the variance of test scores for the classical music group is larger than that of the no music group.
• D. There is insufficient evidence to support the claim that the variance of test scores for the classical music group is larger than that of the no music group.

Answer: (A)