An electrochemical engineer has manufactured a new type of fuel cell (a type of battery) which has to undergo testing to prove its duration: the time it takes to go from fully charged to completely uncharged, under a fixed nominal load. From the computational simulation models she has, the variance of the duration is o2 = 4 h² (hours squared) but she wants to estimate the mean duration time u. To achieve this she is determined to do the tests multiple times in independent but identical conditions. Can you find what is the smallest number of these tests that she has to do in order for her estimated mean duration to be within ±0.2 h tolerance of the true mean with 95% certainty?

An electrochemical engineer has manufactured a new type of fuel cell (a type of battery) which has to undergo testing to prove its duration: the time it takes to go from fully charged to completely uncharged, under a fixed nominal load. From the computational simulation models she has, the variance of the duration is o2 = 4 h² (hours squared) but she wants to estimate the mean duration time u. To achieve this she is determined to do the tests multiple times in independent but identical conditions. Can you find what is the smallest number of these tests that she has to do in order for her estimated mean duration to be within ±0.2 h tolerance of the true mean with 95% certainty?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter4: Nonlinear Oscillations And Chaos

Section: Chapter Questions

Problem 4.13P

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