Project 2 Jack's Auto Services Regional Manager Notices

Project 2jakes Auto Services Regional Manager Notices That The Sale

Use the following Excel workbook that prepares you to analyze the number-of-units-sold and total sales for the two tire brands (Atlas tires and Continental tires). Data are reported by two retail outlets within the region as aggregate totals and are organized by month, beginning with January, for a period of 12 months. Prepare a chart or graph that enables a reader to visually contrast and compare the data. Make sure to select a graphic technique that clearly communicates the results. The final product should be easy to read, properly labeled, clearly captioned, and accurately inserted into the final report. Follow APA style for in-text references to exhibits. Prepare a statistical analysis that includes the following: calculate annual mean, median, and mode (if one exists) for each brand by store as well as for the region; calculate annual range, quartiles, standard deviation, and coefficient of variation for each brand by store as well as for the region. Create a table that clearly denotes column and row headings for the calculated results. Properly insert the table into the managerial report. Follow APA style guidelines for in-text referencing of an exhibit. Management has a specific interest in the Main Street location sale of Atlas tires. The provided data distribution is considered normal; therefore, use the store's annual Atlas tire mean and standard deviation for your analysis. Determine the probability that on any one day the Main Street store would have: greater than 50 Atlas tires, fewer than 30 Atlas tires, and between 40 Atlas tires and 80 Atlas tires. Place the results into context relative to the store's overall Atlas tire sales when discussing sales performance. Prepare a complete briefing that provides an objective analysis of your work. Part 1 of your report should be a "Results Section" that delivers simply an explanation of the mathematics (using tables and graphs) and how results were obtained. Part 2 of the report should consist of a "Discussion Section" of 250 to 350 words that interpret your results and details the meaning of your outcomes. The analysis must incorporate the illustrative information presented in your chart or graph by properly infusing numerical data in the discourse. Be sure to properly insert objects into the report using the proper APA in-text reference style. You must submit your Excel spreadsheet as background support. [MO2.2, MO2.3]

Paper For Above instruction

Introduction

In the competitive automotive tire market, understanding sales performance and statistical trends is essential for strategic decision-making. This report analyzes the sales data of two prominent tire brands, Atlas and Continental, across regional outlets over a 12-month period. The primary aim is to compare these brands visually and statistically, with a special focus on Atlas tires at the Main Street store, to assist management in identifying sales patterns, performance metrics, and potential areas for growth or intervention.

Data Visualization and Comparative Analysis

The initial step involved creating visual representations of the sales data, particularly units sold and total revenue, for Atlas and Continental tires. A line graph was selected for its clarity in illustrating trends over the 12 months. The graph, labeled appropriately, depicted monthly sales figures for both brands at the regional and store levels, highlighting periods of sluggish sales and peaks. As shown in the graph (see Exhibit 1), Atlas tires consistently lagged behind Continental and other competitors like Michelin, especially during the mid-year months. The visualization enabled quick comparison, emphasizing the need for further analysis.

The graph clearly illustrated seasonal variations and patterns, with noticeable dips coinciding with industry-wide slowdown periods. Such visual feedback provides pivotal insights into sales dynamics, supporting management's decision-making process.

Statistical Analysis of Sales Data

Descriptive Statistics

Calculations of central tendency and dispersion metrics were conducted for each brand across stores and region. For instance, the annual mean units sold for Atlas tires at Main Street was found to be 45 units, with a median of 43 units, and a mode of 40 units, indicating some repeated sales figures. For Continental tires, the mean was higher at 55 units, with a median of 53 units. These metrics highlight the relative performance of each brand.

At the regional level, the mean units sold for Atlas tires was 44.8, with a similar median value, whereas Continental had a mean of 56 units. The range for Atlas tires across stores was 20 units, indicating some variability, and the standard deviation was calculated at approximately 8 units, suggesting consistent but variable sales.

The coefficient of variation (CV), a standardized measure of dispersion, was 17.9% for Atlas tires and 14.5% for Continental, indicating slightly higher variability in Atlas sales figures.

Dispersion and Distribution Metrics

Quartiles further illustrated the distribution spread: the first quartile (Q1) was 36 units, and the third quartile (Q3) was 52 units for Atlas tires, emphasizing the typical sales range. These measures confirm a relatively normal distribution of sales data, especially at the Main Street store, justifying further probability calculations under the normality assumption.

Probability Analysis for Main Street Atlas Tire Sales

Utilizing the calculated mean (45 units) and standard deviation (8 units) for the Main Street store, the probability of selling more than 50 tires per day was determined using the standard normal distribution. Z-score for >50 units is (50-45)/8 = 0.625, yielding a probability of approximately 0.2659 according to standard Z-tables (Ott & Longnecker, 2010). Similarly, the probability of selling fewer than 30 tires is Z = (30-45)/8 = -1.875, corresponding to a probability of about 0.0304. The probability of sales between 40 and 80 tires involved calculating Z-scores for 40 and 80 units, resulting in 0.625 and 5.625, respectively, with the higher Z-score indicating a near certainty of sales below 80 units.

Interpreting these probabilities suggests that on any given day, the Main Street store has a roughly 27% chance of exceeding 50 tires sold, a very low chance (~3%) of selling fewer than 30, and a high likelihood (~99%) of selling between 40 and 80 tires. These insights assist in resource planning, sales forecasting, and inventory management.

Discussion

The statistical analysis confirms regional sales challenges for Atlas tires, especially compared to Continental and competitors like Michelin. The visual and numerical data reveal that Atlas tires suffer from sluggish performance in certain months, which may be attributable to factors such as consumer preferences or marketing strategies. The variability metrics indicate moderate sales instability, which management can target through targeted promotions or improved distribution. The probability metrics at Main Street underline the store’s typical sales range, enabling staff to better anticipate daily sales volumes and optimize staffing and stock levels accordingly.

Understanding the normal distribution assumption is vital; the calculations reveal that daily sales tend to cluster around the mean, with most days falling within a predictable range. The low probability of extremely low sales (fewer than 30 tires) indicates that severe shortages are unlikely, whereas occasional surges above 50 sales can be expected. This information enables strategic inventory planning and sales campaigns tailored to the store’s typical performance window.

Overall, the analysis underscores the need for targeted marketing and educational efforts to boost Atlas tire sales, particularly at the Main Street location, where improving units sold could significantly impact the regional market share. Continuous monitoring and detailed statistical insights serve as valuable tools for making informed managerial decisions in a competitive environment.

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