Application of Law of Large Number (LLN) To Quality or Process Control: Case Study of Jos University Teaching Hospital (JUTH) Multipurpose Cooperative Society Water Factory, Lamingo-Jos, Plateau State Nigeria

• Author(s): Gondim Seyilnen Kopse ; Dr. A. Bishir ; A. Isah Ibrahim ; Aminu Sabo Muhammad; Umar Nuhu Shitu ; Abubakar Muhammad Gali; Abubakar Gabchiya
• Paper ID: 1708291
• Page: 1029-1032
• Published Date: 19-05-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 8 Issue 11 May-2025

Abstract

BACKGROUND: The Law of Large Numbers (LLN) is a fundamental principle in statistics that has far-reaching implications for quality control. This article explores the application of the LLN in quality and process control, highlighting its significance, methods, and results. AIM: The aim of this article is to examine the application of the LLN in quality and process control, highlighting its significance, methods, and results. METHODOLOGY: It was six (6) weeks, prospective, factory-based study that systematically selected 300 samples from 2000 products produced. SAMPLING PROCEDURE: Systematic Sampling Technique was adopted in which 300 samples of product were selected out of 2000 production. Using k = N/n. To ensure 300 samples were selected, simple random sampling was conducted by selected by choosing any sample between 1–6. Afterward, every 6th product starting from 3rd product (3, 9, 15 …, and 1995) was selected. Law of Large Number-Based Quality Control Framework model was adopted for the study. RESULT: Finding revealed that for every unit increase in raw material ‘A’ quality, defect rate decrease with 0.266%. For every increase in raw material ‘B’ quality, defect rate decreases with 0.131% and for every unit increase in machine calibration, defect rate decreases with 0.585% respectively. CONCLUSION: The LLN plays a crucial role in quality and process control, enabling manufacturers to make informed decisions and optimize processes. Its application yields significant results, including improved process stability and enhanced product quality.

Keywords

Laws of Large Number, Quality/Process Control.

Citations

IRE Journals:
Gondim Seyilnen Kopse , Dr. A. Bishir , A. Isah Ibrahim , Aminu Sabo Muhammad; Umar Nuhu Shitu , Abubakar Muhammad Gali; Abubakar Gabchiya "Application of Law of Large Number (LLN) To Quality or Process Control: Case Study of Jos University Teaching Hospital (JUTH) Multipurpose Cooperative Society Water Factory, Lamingo-Jos, Plateau State Nigeria" Iconic Research And Engineering Journals Volume 8 Issue 11 2025 Page 1029-1032

IEEE:
Gondim Seyilnen Kopse , Dr. A. Bishir , A. Isah Ibrahim , Aminu Sabo Muhammad; Umar Nuhu Shitu , Abubakar Muhammad Gali; Abubakar Gabchiya "Application of Law of Large Number (LLN) To Quality or Process Control: Case Study of Jos University Teaching Hospital (JUTH) Multipurpose Cooperative Society Water Factory, Lamingo-Jos, Plateau State Nigeria" Iconic Research And Engineering Journals, 8(11)