What computational procedure should be used for the observations in Group (6)?
Other Information: SUS(LT) decreases with increasing thickness, while TUS(LT) does not vary with thickness. Sample statistics are:
| Population | n | X , ksi | s, ksi |
|---|---|---|---|
| Group (6) SUS(LT), 0.020 to 0.249 | 30 | not determined |
The sample size for these data is too small to permit direct computation. Thus, the procedure that should be used is indirect computation by pairing observations of SUS(LT) with observations of TUS(LT). Also, since a thickness effect was suspected in the original data, a regression against thickness should be made and checked for significance.
Prob. XII—Step 1. Pair with .
Ratios of SUS(LT)/TUS(LT) are as follows:
| SUS(LT)/ TUS(LT) | Thickness, inch | SUS(LT)/ TUS(LT) | Thickness, inch |
|---|---|---|---|
| 0.700 | 0.020 | 0.640 | 0.090 |
| 0.680 | 0.020 | 0.650 | 0.090 |
| 0.660 | 0.020 | 0.660 | 0.090 |
| 0.660 | 0.030 | 0.630 | 0.100 |
| 0.670 | 0.030 | 0.650 | 0.100 |
| 0.680 | 0.030 | 0.670 | 0.100 |
| 0.650 | 0.040 | 0.640 | 0.150 |
| 0.670 | 0.040 | 0.630 | 0.150 |
| 0.690 | 0.040 | 0.620 | 0.150 |
| 0.650 | 0.060 | 0.610 | 0.180 |
| 0.660 | 0.060 | 0.630 | 0.180 |
| 0.670 | 0.060 | 0.650 | 0.180 |
| 0.640 | 0.070 | 0.600 | 0.240 |
| 0.660 | 0.070 | 0.610 | 0.240 |
| 0.680 | 0.070 | 0.620 | 0.240 |