A study records the monthly water consumption (in liters) of households in a neighborhood. A small sample contains the values $150$, $180$, $170$, $160$. Ten bootstrap samples are generated from this data:

Using the same bootstrap samples, construct an $80\%$ confidence interval estimate of the standard deviation of the monthly water consumption.

• A. ($6.0$, $13.5$) liters
• B. ($8.5$, $9.2$) liters
• C. ($5.5$, $11.4$) liters
• D. ($5.0$, $12.9$) liters

Answer: (D)