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The problem is to test that there is difference between the average number of ant species. found at sites in two region.
Here first sample is no. of ant species found at sites in the region A and second sample is no of ant species found at sites in the region B let n, be the sum size of sample 1 i.e.n,=5 and nebe the size of sample 2 j.e. 1226 . n, <30 & 2 <30 hence we use t-test for means. Let ell, be the average no.
Of ant species found in region A and la be the average no. of ant species found to region B.! Hypothesis Horeli ll2 = 0 H, ll, - ll2 to Test statistic t = X.-X2 en Sp I ona where, x = mean of sample 1 = 2x, i 74 = 14.8. ns Te mean of sample 2 = 3 X2 = 73 = 12.1667 12 6 si - Variance of sample 1 EX-X, D 2 - 435, 2 S = Variance of sample 2 = 1 EX2 - 2 n2 121 NA 274.9667
Q Pooled variance nis, 2 th, 82² tha-2 (5) (435.2) & (6)( 274.9667) s+ 6-2 3825. 8 = 425.0889 sp= 425.0889 = 20.6176 Test statistic - t = 14.8 +12.1667 20.61761 s16 .. - 2.6333 12.4885 = 0.2109 P-value is calculated in excel P-value = TOIST (0,2log, g tail =2) = 0.8376 level of significance 2 = 0,05 pse Hence accept Ho conclusion: There is no evidence that there is difference in the average number of ant species found at sites in the two region.
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