Relation of Yearly Expenses with Supermarket Purchases – A Zone Wise Inference

Relation of Yearly Expenses with Supermarket
Purchases – A Zone Wise Inference
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Introduction
The present article attempts to identify the description of the income and expenditure of
individuals. The research also undertook the effort to identify the relation between household
income levels and expenses made in supermarket purchase. The data was categorized on the
zone basis; and the influence of the yearly expenditure budget in supermarket purchases was also
investigated. The work moreover found the impact of the average yearly spending on increase of
spending to improve services in the supermarket (Hunneman, Verhoef, and Sloot, 2015).
Two samples of size 25 each were collected from a population of 1000 individuals. The
first sample was selected by Simple Random Sampling (SRS) and the second sample was
selected by Stratified Random Sampling (STRS) technique. For STRS, five observations were
randomly selected from each zone. The population was balanced between male (N = 484, P =
48.4%) and female (N = 516, P = 51.6%) individuals. The modal value of the age category of the
people was centered between 31 and 55 years of age. Zone C was identified as the region with
most number of individuals (N = 690, P = 69%), whereas zone E had least number of purchasers
(N = 33, P = 3.3%) of products from the supermarkets. Mean of average weekly salaries was
found to be $ 73,295.40 (SD = $ 23367.09), and the average yearly expenses was $ 2,387.72.
The SRS sample was obtained by assigning random numbers to each individual
observation, and the entire dataset was sorted in ascending order of random numbers. The first
25 sample were selected from the rearranged data set. The STRS sample was first sorted for
zones, and then for random numbers in ascending order. The 25 collected samples included first
5 samples from each zone arranged in ascending order. The stratified sample was expected to
contain less fluctuation for the continuous variables.
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Descriptive Profile of Simple Random Sample
Gender of Individuals
The sample was well balanced between the two genders, with slight skewed towards the
males (N = 14, P = 56%) compared to that of the females (N = 11, P = 44%).
Figure 1: Gender Comparison of SRS Sample
Age of the Sample
Age categories of the individuals were provided instead of exact age, and most of the
individuals (N = 12, P = 48%) were found to aged between 31 to 55 years. Eight persons (P =
32%) were aged below 30, and there were five persons (P = 20%) aged above 56 years of age.
Hence, the sample seemed to be normally distributed with respected to the age of the individuals.
Figure 2: Age Distribution of Individuals in SRS
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Average Household Income
Average weekly family income of the varied between a range of $ 35,060 to $ 109,290
and the average family income of the sample was calculated as $ 73,782 (SD = $ 20, 732.29).
The weekly salary distribution was found to be almost normally distributed with a slight negative
skewness. The median weekly average salary was evaluated to be at $ 87,970.
Figure 3: Average Household Weekly Salary
Size of Households
Most of the households (N = 11, P = 44%) did not have any child. nine households (P =
36%) were identified that have one child in their family. Only 5 families (P = 20%) had 2 or
more children in their family. Regarding number of total family members, 9 families (P = 36%)
were identified to have 3 members in the family. There were 12 households (P = 48%) which had
2 or less members in their family.
Figure 4: Household Distribution for Number of Children
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