Natasha Unaphum
MATH533: Applied Managerial Statistics
September 10th, 2014
Professor Rolston
Introduction: AJ Davis is a department store chain, they are trying to get to know more about their clientele and to further expand their business. A sample of 50 credit customers are selected for this research, information that includes, location (rural, urban or suburban), Income (in $1,000), size (household size), years (number of years lived in that location), and credit balance (customers current credit card balance on the store’s credit card).
Discuss your 1st variable, using graphical, numerical summary and interpretation
Numerical Summary of Credit Balance are as follows:
Mean: 3970.5 Minimum: 1864
Standard Deviation: 931.9 Q1: 3109.3
Variance: 868429.8 Median: 4090
Skew: -0.15043 Q3: 4747.5
N: 50 Max: 5678
The histogram above shows the Credit Balance variable of the 50 customers surveyed. The histogram is almost symmetrical with one outlier which is the credit balance of $2,000. While it being symmetrical you can almost fold the y-axis in half to have it look the same. While observing the histogram, its skewed to the left because of the outlier, and the skew is -.015043. Using the Anderson-Darling Normality Test, the P-value for Credit Balance is 0.400, and A^2 is 0.38. Throughout the mean, median, and Standard Deviation there is a 95% confidence interval as well.
Discuss your 2nd variable, using graphical, numerical summary and interpretation
Numerical Summary of Size are as follows:
Mean: 3.4200 Minimum: 1.000
Standard Deviation: 1.7390 Q1: 2.0000
Variance: 3.0241 Median: 3.0000
Skew: 0.527896 Q3: 5.0000
N: 50 Max: 7.0000
The histogram above shows the Size variable of the 50 customers surveyed. The graph is not symmetrical compared to the Credit Balance (shown above),