Context: Experiment investigating the relationship between radiation and distance using a Geiger counter, stopwatch and metre ruler.
After doing some research (page 3) on how to find the uncertainty of count rate, I came across this as the best estimate: N/T ± √N/T - where N is the number of counts and T is the time. (T in this case was 10 seconds measured on a stopwatch).
What would the uncertainty be given that there is also an uncertainty in T due to human reaction time (my exam board tends to go with about ±0.1s I believe), which leads to an uncertainty within an uncertainty? (N/T±0.1 ±√N/T±0.1)