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Math533 Part a

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PART A- Exploratory Data Analysis Introduction & Overview AJ Davis is a department store chain, which has many credit customers and wants to find out more information about these customers. The total sample set of 50 credit customers is selected with data collected. The below data was provided in order to perform the analysis. 1. Location: a. Urban b. Suburban c. Rural 2. Income 3. Household Size (number of people living in the household) 4. Years (the number of years that the customer has lived in the current location) 5. Credit Balance (the customer’s current credit card balance on the store's credit card) Individual Variables Five individual variables were provided for review: Location, Income, Household Size, …show more content…

It does not appear to be a correlation between an increase in household size and an increase in credit balance. Income and Credit Balance A scatter plot diagram provides a graphical observation of how two different variables are related to one another. Looking at the data collected for credit balance of customers along with the data collected for income of customers, it’s easy to recognize that there is a correlation between the two variables. The linear positive slope indicates that an increase in the credit balance correlates with an increase in income. Conclusion: In analyzing all of the department store data several conclusions can be made. The customers that carry credit with AJ Davis Department Stores average $4153. The higher the customer’s income the higher credit balance they tend to afford with the department store. Forty four percent of the customer base resides in rural areas. There were not any specific trends identified in relation to household size and department store credit. Customers residing in urban areas occupy the majority of the department store’s credit. In analyzing the income it is safe to say that AJ Davis Department Store customers are middle class citizens. PART B- Hypothesis Testing and Confidence Intervals A.) The average (mean) annual income was above the $45,000 value that was

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