I want to estimate the height of a building between floors 1 and 10. But I can only use stairs and can only sample 10 steps from say 431 stairs between floors 1 and 10. Each floor doesn't exactly have the same number of steps... but I know how many are in each floor. Say I have sampled these correctly, what would be next logical step?
What do you suggest? Do you suggest me to find the average of these sample steps and multiple it by 431 steps to get an estimate height? and maybe get a 95% confidence interval on the point estimate?
Do you have any other suggestions? i.e. any other statistical methods I can use? bootstrap method?