
Statistical Process Control monitoring of the ratio Z of two normal variables X and Y has received too little attention in the literature. This paper aims to investigate the performance of a control chart for monitoring the ratio Z of two normal variables X and Y. The performance of the control chart is evaluated under different scenarios, including different sample sizes, different process parameters, and different levels of nonconformity. The results show that the control chart is effective in detecting small shifts in the ratio Z, and the performance of the control chart is improved when the sample size is increased. The results also show that the control chart is robust to different levels of nonconformity. The findings of this study have important implications for the implementation of Statistical Process Control in industries where the ratio of two normal variables is monitored.
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