rcavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approxim heters per second, when the pressure drops off sufficiently to allow the water to dissociate into water vapor forming a gas nd the vehicle. When the gas bubble completely encloses the vehicle, supercavitation is said to occur. Eight (n = 8) tests we lucted on a scale model of an undersea vehicle in a towing basin with the average observed speed x = 102.2 meters per s me that speed is normally distributed with o = 4 meters per second. Use α = 0.05. est Ho:μ = 100 versus H₁ : μ< 100. not reject null hypothesis ct null hypothesis ompute the power of this test if the true mean speed is low as 95 meters per second. Round your answer to four decimal p 98.7654). What sample size would be required if we want to detect a true mean speed as low as 93 meters per second if we wanted th +0.05

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9.1.2 9 please help with 3 part question thank you
Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately
50 meters per second, when the pressure 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 x = 102.2 meters per second.
Assume that speed is normally distributed with o = 4 meters per second. Use α = 0.05.
(a) Test Ho: μ = 100 versus H₁:μ < 100.
✓
cannot reject null hypothesis
reject null hypothesis
(b) 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).
i
(c) What sample size would be required if we want to detect a true mean speed as low as 93 meters per second if we wanted the power
of the test to be at least 0.85.
i
Statistical Tables and Charts
Transcribed Image Text:Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately 50 meters per second, when the pressure 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 x = 102.2 meters per second. Assume that speed is normally distributed with o = 4 meters per second. Use α = 0.05. (a) Test Ho: μ = 100 versus H₁:μ < 100. ✓ cannot reject null hypothesis reject null hypothesis (b) 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). i (c) What sample size would be required if we want to detect a true mean speed as low as 93 meters per second if we wanted the power of the test to be at least 0.85. i Statistical Tables and Charts
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