(b) A neighbouring island is divided into 16 equal-sized quadrats, and the number of palm trees in each quadrat is counted. The results are given below. 12 30 17 16 19 23 24 10 20 11 15 13 26 17 12 23 Check that it is appropriate to use the X2 dispersion test to investigate whether the palm trees could reasonably be supposed to be randomly positioned on the island, and carry out the test. You may use either a fixed-level test or a significance test, whichever you prefer. If you decide to carry out a fixed-level test, then you should use a 5% significance level and state clearly the rejection region for your test. If you decide to carry out a significance test, then you should give an interval within which the p value for the test lies. If your analysis suggests that the palm trees are not randomly located, then say how you think they are located, justifying your answer briefly.