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S.L.    Tails z-criticalx1      x2    s1   n1 s2     n2   stan. Err z
   0.01 Left    -2.326     29000 29700 600   30  900    40 179.583 -3.898

S.L.    Tails z-criticalx1       x2      s1    n1 s2       n2              z
  0.020 Right    2.054     11.08    10.2    2.2 100    2     100   0.297       2.960

S.L.    Tails z-criticalx1       x2      s1    n1 s2      n2               z
   0.05 Two      1.960     12.55    11.22 2.12   45  1.89    38     0.44       3.021
              z-critical
                -1.960
S.L.     Tails t-critical x1          x2           s1          n1        s2          n2        stan. Err t
   0.100 Left     -1.306       23.1         25.3        8.69        14        0.21        23       1.796 -1.225
Pop Var=
S.L.     Tails t-critical x1          x2           s1          n1        s2          n2        stan. Err t
     0.1 Left     -1.350       574          734         185         14        268         23      74.615 -2.144
Pop Var ≠



S.L.    Tails t-critical x1           x2           s1          n1        s2          n2        stan. Err t
   0.03 Right     2.048        12.1        12.27         2.4        5          2.5        25       1.218 -0.140
Pop Var =

S.L.    Tails t-critical x1           x2           s1          n1        s2          n2        stan. Err t
   0.05 Right     2.015         32          30.2        4.47        7         0.65        6        1.710 1.052
Pop Var ≠



S.L.    Tails t-critical x1           x2           s1          n1        s2          n2        stan. Err t
   0.05 Two       2.052        93.1         97.9         5.7        13         5.2        16       2.027 -2.368
Pop Var =     t-critical
                 -2.052

S.L.    Tails t-critical x1           x2           s1          n1        s2          n2        stan. Err t
   0.01 Two       3.250         80           84         3.37        10         5.4        10       2.011 -1.989
Pop Var ≠     t-critical
                 -3.250
Second Sample                                                          Critical
First Data    Data    Size     d         d2    Sum d Sum d2 d-avg   sd      Sig      Score
       139        104      5        35   1225      63  2847 12.60 22.6561    0.01 Left
       122        113                9      81                                          -3.747
       126        100               26     676                                    Right
        64         88              -24     576                                           3.747
        78         61               17     289                                    Two
                                     0       0                                           4.604
                                     0       0                                          -4.604
                                     0       0
                                     0       0                                      Score
                                     0       0                                          1.24
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
                                     0       0
Sig Level Critical Score x1     n1     x2     n2    P-bar Q-bar p1^     p2^   Z-Score
      0.05          -1.645  178    378    320    516 0.56 0.44     0.47   0.62 -4.438
Left


Sig Level Critical Score x1     n1      x2        n2          P-bar Q-bar p1^     p2^    Z-Score
      0.05           1.645  193    1484      61        1013      0.1   0.9   0.13   0.06    5.669
Right


Sig Level Critical Score x1     n1     x2     n2    P-bar Q-bar p1^     p2^    Z-Score
      0.05          -1.960  246    300    165    300 0.685 0.32    0.82   0.55    7.119
Two-Tail             1.960
Advanced Confidence Intervals

Z-Test

  Conf    Critical                                                     Stan     Left    Right
  Level      Z         n1     x1     s1     n2     x2     s2   Test    Error  Endpoint Endpoint
     0.95   1.960        42    3.2    3.3     42    4.1    3.9 -0.9    0.7883   -2.445    0.645


T-test = Variances
   Conf     Critical                                                   Stan    Left    Right
  Level        T       n1     x1     s1     n2     x2     s2   Test    Error Endpoint Endpoint
      0.95    2.060      15    230    6.2     12    240    8.1   -10   2.7494 -15.663    -4.337


T-test ≠ Variances
   Conf     Critical                                                   Stan     Left    Right
  Level        T       n1     x1     s1     n2     x2     s2   Test    Error  Endpoint Endpoint
       0.9    1.796      15     41   2.42     12     38   1.65     3   0.7857    1.589    4.411

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Chapter 8

  • 1. S.L. Tails z-criticalx1 x2 s1 n1 s2 n2 stan. Err z 0.01 Left -2.326 29000 29700 600 30 900 40 179.583 -3.898 S.L. Tails z-criticalx1 x2 s1 n1 s2 n2 z 0.020 Right 2.054 11.08 10.2 2.2 100 2 100 0.297 2.960 S.L. Tails z-criticalx1 x2 s1 n1 s2 n2 z 0.05 Two 1.960 12.55 11.22 2.12 45 1.89 38 0.44 3.021 z-critical -1.960
  • 2. S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.100 Left -1.306 23.1 25.3 8.69 14 0.21 23 1.796 -1.225 Pop Var= S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.1 Left -1.350 574 734 185 14 268 23 74.615 -2.144 Pop Var ≠ S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.03 Right 2.048 12.1 12.27 2.4 5 2.5 25 1.218 -0.140 Pop Var = S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.05 Right 2.015 32 30.2 4.47 7 0.65 6 1.710 1.052 Pop Var ≠ S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.05 Two 2.052 93.1 97.9 5.7 13 5.2 16 2.027 -2.368 Pop Var = t-critical -2.052 S.L. Tails t-critical x1 x2 s1 n1 s2 n2 stan. Err t 0.01 Two 3.250 80 84 3.37 10 5.4 10 2.011 -1.989 Pop Var ≠ t-critical -3.250
  • 3. Second Sample Critical First Data Data Size d d2 Sum d Sum d2 d-avg sd Sig Score 139 104 5 35 1225 63 2847 12.60 22.6561 0.01 Left 122 113 9 81 -3.747 126 100 26 676 Right 64 88 -24 576 3.747 78 61 17 289 Two 0 0 4.604 0 0 -4.604 0 0 0 0 Score 0 0 1.24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 4. Sig Level Critical Score x1 n1 x2 n2 P-bar Q-bar p1^ p2^ Z-Score 0.05 -1.645 178 378 320 516 0.56 0.44 0.47 0.62 -4.438 Left Sig Level Critical Score x1 n1 x2 n2 P-bar Q-bar p1^ p2^ Z-Score 0.05 1.645 193 1484 61 1013 0.1 0.9 0.13 0.06 5.669 Right Sig Level Critical Score x1 n1 x2 n2 P-bar Q-bar p1^ p2^ Z-Score 0.05 -1.960 246 300 165 300 0.685 0.32 0.82 0.55 7.119 Two-Tail 1.960
  • 5. Advanced Confidence Intervals Z-Test Conf Critical Stan Left Right Level Z n1 x1 s1 n2 x2 s2 Test Error Endpoint Endpoint 0.95 1.960 42 3.2 3.3 42 4.1 3.9 -0.9 0.7883 -2.445 0.645 T-test = Variances Conf Critical Stan Left Right Level T n1 x1 s1 n2 x2 s2 Test Error Endpoint Endpoint 0.95 2.060 15 230 6.2 12 240 8.1 -10 2.7494 -15.663 -4.337 T-test ≠ Variances Conf Critical Stan Left Right Level T n1 x1 s1 n2 x2 s2 Test Error Endpoint Endpoint 0.9 1.796 15 41 2.42 12 38 1.65 3 0.7857 1.589 4.411