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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 \(\bar{x} = 102.2\) meters per second. Assume that speed is normally distributed with \(\sigma = 4\) meters per second. Use \(\alpha = 0.05\). (a) Test \(H_0 : \mu = 100\) versus \(H_1 : \mu < 100\). Dropdown options for test result: - cannot reject null hypothesis - reject null hypothesis (b) Compute the power of this test if the true mean speed is as low as 95 meters per second. Round your answer to four decimal places (e.g., 98.7654). Input box with information icon. (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? Input box with information icon. *Note: The image does not contain any graphs or diagrams.*
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 \(\bar{x} = 102.2\) meters per second. Assume that speed is normally distributed with \(\sigma = 4\) meters per second. Use \(\alpha = 0.05\). (a) Test \(H_0 : \mu = 100\) versus \(H_1 : \mu < 100\). Dropdown options for test result: - cannot reject null hypothesis - reject null hypothesis (b) Compute the power of this test if the true mean speed is as low as 95 meters per second. Round your answer to four decimal places (e.g., 98.7654). Input box with information icon. (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? Input box with information icon. *Note: The image does not contain any graphs or diagrams.*
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