A manufacturer of a new pain relief tablet would like to demonstrate that its product works twice

Question:

A manufacturer of a new pain relief tablet would like to demonstrate that its product works twice as fast as the competitor€™s product. Specifically, the manufacturer would like to test

Ho: = 242 H: > 2µ2

Where μ1 is the mean absorption time of the competitive product and μ2 is the mean absorption time of the new product. Assuming that the variances μ2/1 and μ2/2 are known, develop a procedure for testing this hypothesis.