Homework Answers
1)
| X1 bar | 16.015 (AVERAGE()) | X2 bar | 16.005 | |
| S1 | 0.02 (GIVEN) | S2 | 0.025 | |
| n1 | 10 | n2 | 10 |
| 95%CI | α = | 0.05 |
| Zc | 1.959964 | +/- NORM.S.INV(α/2) |
| ME | 0.019843 | Zc*SQRT(S1^2/n+S2^2/n) |
| Upper | 0.029843 | (X1 bar-X2 bar) + Zc*SQRT(S1^2/n+S2^2/n) |
| Lower | -0.00984 | (X1 bar-X2 bar) - Zc*SQRT(S1^2/n+S2^2/n) |
Upper bound = 0.03
2)
| Sample1 | Sample 2 | Diff | |
| 36925 | 34318 | 2607 | |
| 45300 | 42280 | 3020 | |
| 36240 | 35500 | 740 | |
| 32100 | 31950 | 150 | |
| 37210 | 38015 | -805 | |
| 48360 | 47800 | 560 | |
| 38200 | 37810 | 390 | |
| 33500 | 33215 | 285 | |
| Mean | Dbar | 868.375 | |
| Sd | Sd | 1290.033 | |
| n | 8 |
| 99% CI | α = | 0.01 |
| tc | 3.499483 | T.INV.2T(alpha,df) |
| ME | 1596.099 | tc*(Sd/SQRT(n)) |
| Upper | 2464.474 | D bar + tc*(Sd/SQRT(n)) |
| Lower | -727.724 | D bar - tc*(Sd/SQRT(n)) |
Lower bound = -727.72
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