Use the normal approximation to the binomial to compute the probability that the horizontal line in Fig. 3.1 intersects all 18 whiskers at \(\pm 1\) standard deviations. Devise a better approximation by simulation that takes account of the fact that the SII index has been computed from the same data.

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sexual isolation index +/- se 0.5 0.4 0.3 0.2 0.1 0.0 2 6 7 9 10 13 16 20 26 37 12 generation