(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am in a lab course studying Brownian motion. I have gathered data for for movement in two dimensions.

I currently have a fairly large data set for ∆x and ∆y and have taken the mean and standard deviation of each.

The lab asks what is the probability that these two sets of measurements correspond to the same 'actual value'?

2. Relevant equations

We have been introduced to gaussian probability functions, but I'm not sure how to apply them to find a probability in this way.

3. The attempt at a solution

I have tried to apply numerical solutions to the above mentioned equations but I keep getting confused. Do I need to find the difference between the mean values and compare them to the standard deviation somehow? Could use a solid starting place.

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# Homework Help: Probability that two measurements have the same true value

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