Question $1$: Consider a scenario where you are tasked with conducting a survey to assess customer satisfaction in a large retail chain with stores in both urban and rural areas. How might you employ stratified random sampling to ensure representation from both types of locations? Discuss the advantages of using stratified random sampling in this context compared to simple random sampling.

Question $2$: On a cruise ship, the supply manager is responsible for ordering various goods to meet the needs of passengers and crew throughout the journey. Suppose the supply manager needs to estimate the average daily consumption of a particular item, such as bottled water, across multiple cruises. How could the central limit theorem $($CLT$)$ help the supply manager in making more accurate estimates? Reflect on how the principles of the CLT could guide decision$-$making regarding inventory management and ordering strategies to ensure sufficient supply while minimizing waste.