Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately 50 meters per second when pressure drops 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 tests were conducted on a scale model of an undersea vehicle in a towing basin with the average observed speed x = 102.2 meters per second. Assume that speed is normally distributed with known standard deviation o = 4 meters per second. a) Construct a 95% confidence interval on the population mean. b) Construct a 90% upper confidence bound on the population mean. c) Test the hypothesis H0:μ = 100 versus H1: μ <100 using a = 0.05. P d) Test the hypothesis HO:μ = 100 versus H1: μ >100 using a = 0.10.

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