# Calculate the length of simulation run for 98% confidence level, such that the sample mean lies within ±σ/20 of the population mean

Question-AnswerCategory: Modelling & SimulationCalculate the length of simulation run for 98% confidence level, such that the sample mean lies within ±σ/20 of the population mean
Mazurek Gravity Staff asked 1 year ago

Calculate the length of simulation run for 98% confidence level, such that the sample
mean lies within ±σ/20 of the population mean

Given, confidence level, 1 – $\alpha$ = 0.98
$So, P(\bar X - \frac{\sigma }{20} < \mu < \bar X + \frac{\sigma}{20}) = 1 - \sigma = 0.98$
$length = \left [ \bar X + \frac{\sigma }{20} \right]- \left [\bar X - \frac{\sigma}{20} \right]= \frac{\sigma }{10}$