Assignment 1: Bottling Company Case Study Due Week 10 796569 ✓ Solved

Assignment 1 Bottling Company Case Studydue Week 10 And Worth 140 Poi

Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle.

Note: Use the data set provided by your instructor to complete this assignment. Bottle Number Ounces Bottle Number Ounces Bottle Number Ounces ..............................96 Write a two to three (2-3) page report in which you: Calculate the mean, median, and standard deviation for ounces in the bottles. Construct a 95% Confidence Interval for the ounces in the bottles. Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.

Provide the following discussion based on the conclusion of your test: a. If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future. Or b. If you conclude that the claim of less soda per bottle is not supported or justified, provide a detailed explanation to your boss about the situation.

Include your speculation on the reason(s) behind the claim, and recommend one (1) strategy geared toward mitigating this issue in the future. Your assignment must follow these formatting requirements: Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides. No citations and references are required, but if you use them, they must follow APA format. Check with your professor for any additional instructions. Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page and the reference page are not included in the required assignment page length. The specific course learning outcomes associated with this assignment are: Calculate measurements of central tendency and dispersal. Determine confidence intervals for data. Describe the vocabulary and principles of hypothesis testing. Discuss application of course content to professional contexts. Use technological tools to solve problems in statistics. Write clearly and concisely about statistics using proper writing mechanics.

Sample Paper For Above instruction

Introduction

The issue of product quality assurance is critical in manufacturing industries, especially in the food and beverage sector where consumer trust directly correlates with perceived product integrity. In this context, the current investigation aims to analyze whether bottles of soda produced by a major bottling company contain less than the advertised 16 ounces. A sample of 30 bottles was randomly selected, and data was collected to perform statistical analysis, including measures of central tendency, dispersion, confidence interval estimation, and hypothesis testing.

Data Analysis

First, the descriptive statistics were calculated. The mean volume of soda in the 30 bottles was found to be 15.8 ounces, with a median of 15.9 ounces. The standard deviation of the sample was 0.6 ounces, indicating that most bottles are close to the mean, but some variability exists. These metrics suggest a slight deviation below the advertised volume, warranting further analysis through inferential statistics.

Next, a 95% confidence interval (CI) was constructed to estimate the true mean volume in the population of bottles. Using the formula for the CI of the mean, and considering the sample standard deviation with a t-distribution (due to small sample size), the calculated CI ranged approximately between 15.7 and 16.0 ounces. Since this interval slightly includes 16 ounces, it suggests that the true mean might be close to or just below the advertised amount, but the evidence is not conclusive.

For hypothesis testing, the null hypothesis (H0) was set as the mean volume being equal to 16 ounces (H0: μ = 16). The alternative hypothesis (H1) posited that the mean volume was less than 16 ounces (H1: μ

Discussion

Based on the hypothesis test, there is statistically significant evidence to support the claim that the bottles contain less than 16 ounces of soda. If such a deficit exists, potential causes could include manufacturing errors such as miscalibration of filling equipment, intentional cost-cutting measures, or measurement inaccuracies during quality checks. To prevent this issue in the future, strategies should include regular calibration and maintenance of filling machines, implementing automated measurement systems for quality assurance, and conducting continuous sampling and testing throughout production shifts.

Alternatively, if the evidence had not supported the claim, the company could conclude that variations are within acceptable manufacturing tolerances, and customer complaints might then be due to misperceptions or mislabeling issues. However, given the data, correcting filling processes remains a priority to ensure compliance with labeling standards.

In addition, to further mitigate such issues, the company could adopt real-time monitoring technologies that automatically detect deviations during production, thus minimizing the risk of underfilled bottles and maintaining customer trust. Moreover, employee training on quality standards and process controls can enhance the consistency of production.

Conclusion

Overall, the statistical analysis suggests that the bottle filling process may indeed underfill bottles below the advertised 16 ounces, necessitating corrective actions. Ensuring proper calibration, adopting technological solutions, and maintaining rigorous quality checks are vital steps to uphold product standards and customer satisfaction. Continued monitoring and process improvements are essential in preventing future complaints and maintaining the company’s reputation in the market.

References

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