Because today's e-commerce gives to consumers convenience and diversity of shopping channels, so the performance of goods is particularly special attention for consumers and Weibull distribution often used to quality characters of products in the areas of reliability, survival analysis, industrial engineering, etc.. Hence, under the new type Weibull distribution with different location parameters and independent of each other, we will use the sample data of quality characters X and Y for the two products to explore the superiority and inferiority for two products based on the hypothesis testing of the measure of performance R(= P[X > Y]).