Answered: When trying to determine how many…

Name: When trying to determine how many samples are needed to perform an exp
Uploaded: 2024-03-20T07:07:12.000Z
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Description: When trying to determine how many samples are needed to perform an experiment, the desired accuracy of the results are often a determining factor. Dr. Smith has designed a new scanner capable of determining blood bilirubin levels using a cell phone.

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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When trying to determine how many samples are needed to perform an experiment, the desired accuracy of the results are often a determining factor. Dr. Smith has designed a new scanner capable of determining blood bilirubin levels using a cell phone. Because this is a diagnostic device, Dr. Smith is concerned not just about having small standard errors, but also having good estimates for population percentiles. If he needs to determine the 95th percentile to an accuracy of 5%, what is the number of samples needed to ensure that the percentile as determined from his data (using a t distribution) is within 5% of the percentile as calculated as if the standard deviation was taken from the entire population (using a z distribution)?

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