Listed below is a simple random sample of the number of times caffeine (e.g., coffee, energy drinks) was mentioned during episodes of a teen drama series.
$4,5,6,3,7,5,4,6,8,5$
Are the conditions met for constructing a $95\%$ confidence interval estimate for the population mean number of caffeine mentions per episode? If yes, compute the $95\%$ confidence interval for the mean.

• A. No, the requirements are not satisfied.
• B. Yes, the requirements are satisfied, and the $95\%$ confidence interval is $(5.0,7.1)$.
• C. Yes, the requirements are satisfied, and the $95\%$ confidence interval is $(5.1,6.6)$.
• D. Yes, the requirements are satisfied, and the $95\%$ confidence interval is $(4.2,6.4)$.

Answer: (D)