Answered: Better light After his first attempt to…

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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Question

Better light After his first attempt to determine the speed
of light (described in Exercise 21), Michelson conducted
an “improved” experiment. In 1897 he reported results of
100 trials with a mean of 852.4 and a standard deviation
of 79.0.
a) What is the standard error of the mean for these data?
b) Without computing it, how would you expect a 95%
confidence interval for the second experiment to differ
from the confidence interval for the first? Note at least

three specific reasons why they might differ, and indi-
cate the ways in which these differences would change

the interval.
c) According to Stigler (who reports these values),
the true speed of light is 299,710.5 km>sec,
corresponding to a value of 710.5 for Michelson’s1897 measurements. What does this indicate about
Michelson’s two experiments? Explain, using your
confidence interval.

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