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If the observed variable is “the mean temperature in a given day”, 4% can be expected to occur relatively frequently. Anyway until we know the probability dist
by WinterMount223 5y ago
If the observed variable is “the mean temperature in a given day”, 4% can be expected to occur relatively frequently.
Anyway until we know the probability distribution, and my intuition says that it’s definitely not Normal for wide periods of time, we can’t say if it’s significant or not.
- ianai 5y agoYou’re the only one introducing the normal distribution here.
- nobodyandproud 5y agoWhen discussing standard deviations, what meaning is there for non-normal distribution? https://stats.stackexchange.com/questions/108578/what-does-standard-deviation-tell-us-in-non-normal-distribution#197545 https://stats.stackexchange.com/questions/108578/what-does-s...
- lanstin 5y agoFive standard deviations is not four percent, it is in the 1 in 3 Million range.
- FabHK 4y agoYes, for a normal, which is known to have extremely thin tails (decaying with a squared exponential!). Chebyshev's bound holds for any possible distribution (with finite variance).