X̅ = 3.70
t.2 = 1.533
Σ(Xi − X̅)2 = .932
Sf = .394
The calculations are shown in table 6.
TABLE 5
Calculation of Confidence Intervals for Area
| Tribe | Xo | (Xo − X̅) | (Xo − X̅)2 --------------- Σ((Xi − X̅)2) | { (Xo − X̅)2} √{1/6 + ----------------} { Σ((Xi − X̅)2)} | { (Xo − X̅)2} t.2Sa × √{1/6 + ----------------} { Σ((Xi − X̅)2)} |
| Kato | 5.42 | -.23 | .0616 | .4778 | .263 |
| Bear River | 4.80 | -.83 | .8510 | 1.0088 | .556 |
| Lassik | 5.96 | .31 | .1119 | .5278 | .291 |
| Nongatl | 6.75 | 1.10 | 1.4086 | 1.2551 | .692 |
| Shelter Cove Sinkyone | 5.86 | .21 | .0513 | .4669 | .257 |
TABLE 6
Calculation of Fishing-Mile Estimates
| Tribe | Xo | (Xo − X̅) | (Xo − X̅)2 --------------- Σ((Xi − X̅)2) | { (Xo − X̅)2} √{1/6 + ----------------} { Σ((Xi − X̅)2)} | { (Xo − X̅)2} t.2Sf × √{1/6 + ----------------} { Σ((Xi − X̅)2)} |
| Kato | 3.37 | -.22 | .0281 | .4414 | .267 |
| Bear River | 3.04 | -.55 | .1756 | .5851 | .353 |
| Lassik | 3.22 | -.37 | .0795 | .4962 | .300 |
| Nongatl | 4.44 | .85 | .4193 | .7655 | .462 |
| Shelter Cove Sinkyone | 4.20 | .67 | .2160 | .6186 | .374 |
The results of the calculations are given in table 7. The figures are point estimates with 80 per cent confidence intervals. This means that under the assumptions given earlier we expect that the tabled intervals will contain the true population 8 times out of 10. I have accepted the estimates derived from fishing miles because their confidence intervals are a bit shorter on the average.