Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. it occurs above approximately 50 meters per second, when the press drops off sufficiently to allow the water to dissociate into water vapor forming a gas bubble behind the vehicle. when the gas bubble completely encloses the vehicle, supercavitation is said to occur. eight (n = 8) tests were conducted on a scale model of an undersea vehicle in a towing basin with the average observed speed \bar{x}=102.2 meters per second. assume that speed is normally distributed with\sigma =4 meters per second. use α =0.05

compute the power of this test if the true mean speed is low as 95 meters per second. round your answer to four decimal places (e. g. 98.7654).