In an effort to confirm the results of Michelson experiment in the year 1882 which measured...
In an effort to confirm the results of Michelson experiment in the year 1882 which measured the speed of light, a scientist currently reports her results of 4 trials having a mean of 756 and a standard deviation of 108. (The units she used is not important here.) Find the 95% confidence interval for the true mean of the speed of light from these statistics. Label Conf. Interval;round results to 1 decimal place. Include drawings in your work.
Homework Answers
Solution :
Given that,
t
/2,df = 3.181
Margin of error = E = t/2,df
* (s /
n)
= 3.181 * (108 /
4)
Margin of error = E = 171.8
The 95% confidence interval estimate of the population mean is,
- E < 
<
+ E
756 - 171.8 <
< 756 + 171.8
584.2 <
< 927.8
(584.2 , 927.8)
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