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Imagine you are a consultant hired by a retail store looking to enhance customer satisfaction. The management wants to employ data$-$driven strategies to understand customer preferences, improve service, and ultimately boost sales. Your task is to design a comprehensive data collection and analysis plan.

a$)$ Identify both numerical and non$-$numerical data relevant to understanding customer satisfaction. Explain how each data type contributes to the overall analysis.

b$)$ Propose a plan for random sampling to ensure a representative subset of customers is included. Suggest how stratified sampling could be applied to ensure diversity in the sample, considering factors like age, income, and location.

c$)$ Consider the follwoing dataset representing the daily sales figures $($in dollars$)$ of the store over a period of one month. The dataset contains $30$ data points, each representing the sales amount for a specific day.

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