A researcher collects a simple random sample of cholesterol levels from $25$ adult men and finds the sample standard deviation is $18.7$ $\text{mg/dL}$. Test, at the $0.01$ significance level, the claim that the standard deviation of cholesterol levels in adult men is the same as the known standard deviation for adult women, which is $15.2$ $\text{mg/dL}$.

• A. Reject the null hypothesis; the standard deviation for men is significantly higher.  
• B. Fail to reject the null hypothesis; there is not enough evidence to conclude a difference in standard deviations. 
• C. Reject the null hypothesis; the standard deviation for men is significantly lower.  
• D. Fail to reject the null hypothesis; the sample size is too small.

Answer: (B)