Generalized Grubbs test on moments of order 3 (g3)

Compute the probability associated with the g3 statistic (f = cummulative distribution function of the distribution function being tested): \[ g3_{Statistic} = \mathop{\max}\limits_{1 \leq i \leq n} \left( \frac{|f_1-0.5|^3}{\sum_{i=1}^{n}{|f_i-0.5|^3}},\frac{|f_n-0.5|^3}{\sum_{i=1}^{n}{|f_i-0.5|^3}} \right) \] You should use this test to decide if the largest departure from median is an outlier (i.e. here p > 95%). Computation limitations: Sample size, n; 6 ≤ n ≤ 1000, not necessary an integer. Calculated value of the g3 statistic, on the sample of size n, with at least five significant digits, g3; 0.05 ≤ g3 ≤ 0.95. Return value: Probability to be observed a better agreement between the observed sample and the hypothetical distribution being tested. Is obtained with three significant digits. Limitation: 1.0E-7 ≤ min(p,1-p). Ref: A paper describing the procedure will be prepared. Calculation uses 50 coeficients obtained from a Monte-Carlo experiment. Compute for: n= g3= (low_p=)