Occurrence of rust along a gasstubewire can be modeled as a Poisson process with intensity 1 per kilometer. That means that the number of rust-occurrences per kilometer along a tubewire kan be assumed to be poisson distributed with expectation value 2. In reality the value of 2 is unknown, but it can be estimated given the results from the rust occurrences in a section of 7.5 kilometers. In this section it was found 39 rust occurrences. b) Find a (approximate) 90% confidence interval for 2. c) Use the confidence interval to do the test with a 10% significant level: Ho: λ 6.5 against H1 :A (not equal)= 6.5 d) Comment briefly what we have to think through to consider if the results from the test is and confidence interval is valid for the rest of the tubewire.

Occurrence of rust along a gasstubewire can be modeled as a Poisson process with intensity 1 per kilometer. That means that the number of rust-occurrences per kilometer along a tubewire kan be assumed to be poisson distributed with expectation value 2. In reality the value of 2 is unknown, but it can be estimated given the results from the rust occurrences in a section of 7.5 kilometers. In this section it was found 39 rust occurrences. b) Find a (approximate) 90% confidence interval for 2. c) Use the confidence interval to do the test with a 10% significant level: Ho: λ 6.5 against H1 :A (not equal)= 6.5 d) Comment briefly what we have to think through to consider if the results from the test is and confidence interval is valid for the rest of the tubewire.

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Description: Occurrence of rust along a gasstubewire can be modeled as a Poisson process with intensity aper kilometer. That means that the number of rust-occurrences per kilometer along a tubewirekan be assumed to be poisson distributed with expectation value 2

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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