ii) How small does o need to be (i.e. how precise do our measurements need to if we want to construct a 99% confidence interval of length 0.01 for u from only measurements?
ii) How small does o need to be (i.e. how precise do our measurements need to if we want to construct a 99% confidence interval of length 0.01 for u from only measurements?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Suppose we are trying to measure some physical constant . Assume that each time we
measure µ, there is a small, independent random error ~ N(0, 0²) with σ = 0.01.
o
(i) How many measurements do we need to construct a 99% confidence interval of length
0.01 for u?
(ii) If we can only afford to make only 10 measurements, what level of confidence can we
achieve for a confidence interval of length 0.01?
(iii) How small doeso need to be (i.e. how precise do our measurements need to be)
if we want to construct a 99% confidence interval of length 0.01 for µ from only 10
measurements?
(iv) Suppose the precision of our measurements improves to o = 0.001. What is the length
of a 99% confidence interval obtained from 10 measurements?
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