Find a single outlier determine if you should accept or reje

Find a single outlier, determine if you should accept or reject it with 95% and 99% confidence for the following data: [2.995, 9.281, 0.458, 2.261, 3.022, 3.610].

Solution

An outlier is defined as an observation that is generated from a different model or a different distribution than was the main \"body\" of data.

0.458, 2.261, 2.995, 3.022, 3.610, 9.281

Q= X2-X1/Xn-X1

=2.261-0.458/6-0.458

=1.803/5.542

=0.1954

We can say we are 95% confident that the population parameter lies within our given range. This is to say, the method we use will generate an interval containing the parameter of interest 95% of the time. For life-and-death situations, 99% or higher confidence intervals may quite appropriately be chosen. The population parameter either is or is not within the confidence interval so we must be careful to say we have 95% confidence that it is within, not that there is a 95% probability that it is. Since we expect it to 95% of the time, this can be a point of confusion.