18. Better light. After his first attempt to determine

Chapter 23, Problem 18

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18. Better light. After his first attempt to determine thespeed of light (described in Exercise 17), Michelson conductedan improved experiment. In 1897 he reportedresults of 100 trials with a mean of 852.4 and a standarddeviation 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 differfrom the confidence interval for the first? Note at leastthree specific reasons why they might differ, and indicatethe ways in which these differences wouldchange the interval.c) According to Stigler (who reports these values), thetrue speed of light is 299,710.5 km/sec, correspondingto a value of 710.5 for Michelsons 1897 measurements.What does this indicate about Michelsons twoexperiments? Explain, using your confidence interval.

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