In this study, review the history of textiles in North Africa also will determine the Processes either add value or waste to the production of a good or service. Initially, we have collected all the information for Libyan Textile Company starting from overproduction, waiting, inventory, transportation, over-processing, motion, defects, workforce underutilization, and improper utilization of technology of our ten wastes in manufacturing. Data of the study is collected from a Libyan Textile Company. Analytically modeled using a comprehensive computer simulation model that has been created using Rockwell software (ARENA14.7) in order to test the solutions for experimentation and enhancing of Libyan Textile Company. Design experiments have many potential uses in improving processes and products, comparing alternatives is one of the purposes of experimentation. In this experiment we will compare two different colored yarns in the woven carpet factory, factors might have a cause and effect relationship in Libyan textiles. Woven carpet is very much similar to a woven cloth and is produced on a loom only. Different colored yarns are used to produce intricate designs and patterns. In this experiment, we will use repeated T-Test or paired T-Test to compare colored yarns. In this paper, we will consider these to be paired data samples (intricate designs and patterns) because each pair of values in each row represents a unique product from different colored yarns woven W1, W2, W3, and W4. To compare the mean values we will use paired T-Test.