The Exponentiated Inverted Weibull Distribution is a well-known model for guiding a variable quality parameter. The control limits for the appropriate control charts are based on the percentiles of sample statistics like mean, median, midrange, and range that have been examined. The acceptability and power of the 'Control Limits' are compared to those based on the commonly used Shewhart control limits. Simulation is used to determine and compare the coverage probability in both methodologies.