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    Math 533

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    Statistical Report The Relationships between Location‚ Income‚ and Credit Balance for the customers of AJ Davis Department Store Math 533 Course Project Part A AJ DAVIS DEPARTMENT STORES AJ Davis Department Store Customer Research A. Brief Introduction The department store AJ Davis would like to find out more information about their customers. A sample of 50 credit customers is selected with data collected on the following five variables: 1. LOCATION (Rural‚ Urban‚ Suburban)

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    Math 533

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    Brief Introduction: AJ Davis is a department store chain‚ which has many credit customers and want to find out more information about these customers. AJ Davis has complied a sample of 50 credit customers with data selected in the following variables: Location‚ Income (in $1‚000’s)‚ Size (Number of people living in the household)‚ Years (number of years the customer has lived in the current location)‚ and Credit Balance (customers current credit card balance on the store’s credit car‚ in $)

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    Math 533

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    A P P E N D I X E S Tables and Data Sets A Areas under the Normal Curve B Student’s t Distribution C Data Set 1 — Real Estate D Data Set 2 — Major League Baseball E Data Set 3 — OECD F Data Set 4 — Northwest Ohio School Districts G Critical Values of the F Distribution H Critical Values of Chi-Square I Binomial Probability Distribution J Factors for Control Charts K Poisson Distribution L Table of Random Numbers M Wilcoxon T Values N Banking Data Set — Case 262 Appendixes Appendix A Areas

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    household) YEARS (the number of years that the customer has lived in the current location) CREDIT BALANCE (the customers current credit card balance on the store’s credit card‚ in $). The data appears below‚ and is available in Doc Sharing Course Project Data Set as an EXCEL file: LOCATION INCOME($1000) SIZE YEARS CREDIT BALANCE($) Urban 54 3 12 4016 Rural 30 2 12 3159 Suburban 32 4 17 5100 Suburban 50 5 14 4742 Rural 31 2 4 1864

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    AJ DAVIS AJ DAVIS MATH 533 Project Consumer Tel – 123-456-7891 July 21st 2013 MATH 533 Project Consumer Tel – 123-456-7891 July 21st 2013 Lakshan Nanayakkara AJ DAVIS is a department store chain‚ which has many credit customers. A sample of 50 credit customers is selected with data collected on location‚ income‚ credit balance‚ number of people and years lived in the house Lakshan Nanayakkara AJ DAVIS is a department store chain‚ which has many credit customers. A sample of 50 credit

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    Math 533 Project Part B In regards to the dataset from AJ Department store‚ your manager has speculated the following: the average (mean) annual income is less than $50‚000‚ the true population proportion of customers who live in an urban area exceeds 40%‚ the average (mean) number of years lived in the current home is less than 13 years‚ the average (mean) credit balance for suburban customers is more than $4300. Part 1. Using the sample data‚ perform

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    Course Project Part B a. the average (mean) annual income was less than $50‚000 Null and Alternative Hypothesis H0: mu= 50 (in thousands) Ha: mu<50 (in thousands) Level of Significance Level of Significance = .05 Test Statistic‚ Critical Value‚ and Decision Rule Since alpha = .05‚ z<-1.645‚ which is lower tailed Rejection region is‚ z<-1.645 Calculate test statistic‚ x-bar=43.74 and s=14.64 Z=(43.74-50)/2.070=-3.024 2.070 is calculated by: s/sq-root of

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    Math 533 Part a

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    Summary: AJ Davis department store has asked to take a look at a sample of customers (sample size: 50) in order to more efficiently generate sales and also appeal to their more profitable segment. In order to better understand their customers a statistical analysis and interpretation must be performed. AJ Davis is hoping to achieve insight on how to improve their department store operations and strengthen their customer loyalty. We have taken both quantifiable and qualitative information and

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    Math 533 Part C

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    PROJECT PART C: Regression and Correlation Analysis Math-533 Applied Managerial Statistics Prof. Jeffrey Frakes December 12‚ 2014 Jared D Stock 1. Generate a scatterplot for income ($1‚000) versus credit balance ($)‚ including the graph of the best fit line. Interpret. This scatter plot graph is a representation of combining income and credit balance. It shows the income increasing as the credit balance increases. As a result of this data it can be inferred that there is

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    Math 533 Part B

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    PROJECT PART B: Hypothesis Testing and Confidence Intervals Math-533 Applied Managerial Statistics Prof. Jeffrey Frakes December 8‚ 2014 Jared D Stock A.) The average (mean) annual income was greater than $45‚000 Null Hypothesis: The average (mean) annual income is greater than or equal to $45‚000. Ho: u > $45‚000 Alternative Hypothesis: The average (mean) annual income was less than $45‚000 Ha: u < $45‚000 I will use a = .05 as the significance level‚ and observing the

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