I have a list of measured numbers (e. g. lengths of products). Of these I can easily compute the mean and the standard deviation.
Now, when a new measured number arrives, I'd like to tell the probability that this number is of this list or that this number is an outlier which does not belong to this list. Is this statement possible given only mean and stddev?
Can I compute the probability with which this new value is part of the list? I'd like to have a probability as a result.