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 I = 102.2 meters per second. Assume that speed is normally distributed with o = 4 meters per second. Use a = 0.05. (a) Test Ho: u = 100 versus H1 :µ < 100. (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). (c) What sample size would be required if we want to detect a true mean speed as low as 94 meters per second if we wanted the powe of the test to be at least 0.85.
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 I = 102.2 meters per second. Assume that speed is normally distributed with o = 4 meters per second. Use a = 0.05. (a) Test Ho: u = 100 versus H1 :µ < 100. (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). (c) What sample size would be required if we want to detect a true mean speed as low as 94 meters per second if we wanted the powe of the test to be at least 0.85.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
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 I = 102.2 meters per second.
Assume that speed is normally distributed with o = 4 meters per second. Use a = 0.05.
(a) Test Ho:µ = 100 versus H1:µ < 100.
(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).
(c) What sample size would be required if we want to detect a true mean speed as low as 94 meters per second if we wanted the power
of the test to be at least 0.85.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON