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Data                 Observed   Expected
Categories    %         Frequency frequency    (O-E)2/E    Level of Sig
          5       0.400         45        60         3.75           0.05
 Number                                                      Critical
Surveyed          0.300        52        45          1.09    Score
        150       0.200        39        30            2.7        9.488
                  0.050         8        7.5         0.03
                                                              Test
                  0.050         6        7.5           0.3 Statistic
                                                                  7.872
Observed Frequencies

                           12            16               18
                           15            27                9
                           12            10                5
                            6             9               13

Column Total               45            62               45              0              0               0        0

                Expected Frequencies

                        13.62          18.76           13.62              0              0               0        0
                         15.1           20.8            15.1              0              0               0        0
                         7.99          11.01            7.99              0              0               0        0
                         8.29          11.42            8.29              0              0               0        0
                            0              0               0              0              0               0        0


                (O-E)2/E

                        0.19          0.41             1.41        #DIV/0!        #DIV/0!        #DIV/0!     #DIV/0!
                           0          1.85             2.46        #DIV/0!        #DIV/0!        #DIV/0!     #DIV/0!
                        2.01          0.09             1.12        #DIV/0!        #DIV/0!        #DIV/0!     #DIV/0!
                        0.63          0.51             2.68        #DIV/0!        #DIV/0!        #DIV/0!     #DIV/0!
                      #DIV/0!       #DIV/0!          #DIV/0!       #DIV/0!        #DIV/0!        #DIV/0!     #DIV/0!

                Sum - Test Statistic           You will have to tell it what cells to add up each time
                       13.36

**You will have to enter the level of signifcance and degree of freedom
                 Degree of      Critical
Level of Sig Freedom            Score
             0.1              6          10.64
Row Total
         46
         51
         27
         28
          0
        152
Given size & s

   One-tail
 Level of Sig     DFN        DFD             Critical Score
    0.05                11             13               2.635
  Two-Tail
 Level of Sig     DFN        DFD             Critical Score
    0.05                11             13               3.197

      s1          n1         var1            s2                 n2        var2            Test Stat
     27.7               12          767.29              26.1         14          681.21          1.126

Given size & s2

   One-tail
 Level of Sig     DFN        DFD             Critical Score
    0.03                8               8               4.433
  Two-Tail
 Level of Sig     DFN        DFD             Critical Score
    0.05                8               8               4.433

      s1          n1         var1            s2                 n2        var2            Test Stat
     5.83               9              34               2.45         9               6           5.667
One-tail                                       One-tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
                                  Two-Tail                                       Two-Tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
One-tail                                       One-tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
                                  Two-Tail                                       Two-Tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
One-tail                                       One-tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
                       Two-Tail                                       Two-Tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
One-tail                                       One-tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
              Two-Tail                                       Two-Tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
One-tail                                       One-tail                                       One-tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
Two-Tail                                       Two-Tail                                       Two-Tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
One-tail                                       One-tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
                                  Two-Tail                                       Two-Tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
One-tail                                       One-tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
                       Two-Tail                                       Two-Tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
One-tail                                       One-tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
              Two-Tail                                       Two-Tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
One-tail                                       One-tail                                       One-tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
Two-Tail                                       Two-Tail                                       Two-Tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
One-tail                                       One-tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
                                  Two-Tail                                       Two-Tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
One-tail                                       One-tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
                       Two-Tail                                       Two-Tail
DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD
      -1       Err:502          0.05      -1         -1       Err:502          0.05      -1         -1
One-tail                                       One-tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
              Two-Tail                                       Two-Tail
Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD        Critical Score
      Err:502          0.05      -1         -1       Err:502          0.05      -1         -1         Err:502
One-tail                                       One-tail                                       One-tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
Two-Tail                                       Two-Tail                                       Two-Tail
Level of Sig DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig
         0.05      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05
One-tail                                       One-tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
                                  Two-Tail                                       Two-Tail
DFN        DFD      Critical ScoreLevel of Sig DFN        DFD      Critical ScoreLevel of Sig DFN
      -1         -1       Err:502          0.05      -1         -1       Err:502          0.05      -1
One-tail
DFD      Critical ScoreLevel of Sig DFN        DFD           Critical Score
      -1       Err:502          0.05      -1         #REF!          #REF!
                       Two-Tail
DFD      Critical ScoreLevel of Sig DFN        DFD           Critical Score
      -1       Err:502          0.05      -1         #REF!          #REF!
64           73         69           75            78
                  73           82         71           69            74
                  61           79         71           73            66
                  63           69         68           74            75




Anova: Single Factor

SUMMARY
      Groups           Count        Sum         Average      Variance
Row 1                          5          359         71.8         29.7
Row 2                          5          369         73.8         24.7
Row 3                          5          350           70           47
Row 4                          5          349         69.8         23.7


ANOVA
 Source of Variation    SS          df            MS            F          P-value      F crit
Between Groups            52.15            3        17.38           0.56         0.65         5.29
Within Groups             500.4           16        31.28

Total                    552.55           19

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Chapter 10

  • 1. Data Observed Expected Categories % Frequency frequency (O-E)2/E Level of Sig 5 0.400 45 60 3.75 0.05 Number Critical Surveyed 0.300 52 45 1.09 Score 150 0.200 39 30 2.7 9.488 0.050 8 7.5 0.03 Test 0.050 6 7.5 0.3 Statistic 7.872
  • 2. Observed Frequencies 12 16 18 15 27 9 12 10 5 6 9 13 Column Total 45 62 45 0 0 0 0 Expected Frequencies 13.62 18.76 13.62 0 0 0 0 15.1 20.8 15.1 0 0 0 0 7.99 11.01 7.99 0 0 0 0 8.29 11.42 8.29 0 0 0 0 0 0 0 0 0 0 0 (O-E)2/E 0.19 0.41 1.41 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 1.85 2.46 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 2.01 0.09 1.12 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0.63 0.51 2.68 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! Sum - Test Statistic You will have to tell it what cells to add up each time 13.36 **You will have to enter the level of signifcance and degree of freedom Degree of Critical Level of Sig Freedom Score 0.1 6 10.64
  • 3. Row Total 46 51 27 28 0 152
  • 4. Given size & s One-tail Level of Sig DFN DFD Critical Score 0.05 11 13 2.635 Two-Tail Level of Sig DFN DFD Critical Score 0.05 11 13 3.197 s1 n1 var1 s2 n2 var2 Test Stat 27.7 12 767.29 26.1 14 681.21 1.126 Given size & s2 One-tail Level of Sig DFN DFD Critical Score 0.03 8 8 4.433 Two-Tail Level of Sig DFN DFD Critical Score 0.05 8 8 4.433 s1 n1 var1 s2 n2 var2 Test Stat 5.83 9 34 2.45 9 6 5.667
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  • 18. One-tail One-tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 Two-Tail Two-Tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig -1 -1 Err:502 0.05 -1 -1 Err:502 0.05
  • 19. One-tail One-tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 Two-Tail Two-Tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1
  • 20. One-tail One-tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Two-Tail Two-Tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1
  • 21. One-tail One-tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 Two-Tail Two-Tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502
  • 22. One-tail One-tail One-tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 Two-Tail Two-Tail Two-Tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05
  • 23. One-tail One-tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 Two-Tail Two-Tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1
  • 24. One-tail One-tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Two-Tail Two-Tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1
  • 25. One-tail One-tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 Two-Tail Two-Tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502
  • 26. One-tail One-tail One-tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 Two-Tail Two-Tail Two-Tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05
  • 27. One-tail One-tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 Two-Tail Two-Tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1
  • 28. One-tail One-tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Two-Tail Two-Tail DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 -1
  • 29. One-tail One-tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 Two-Tail Two-Tail Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical Score Err:502 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502
  • 30. One-tail One-tail One-tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 Two-Tail Two-Tail Two-Tail Level of Sig DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig 0.05 -1 -1 Err:502 0.05 -1 -1 Err:502 0.05
  • 31. One-tail One-tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1 Two-Tail Two-Tail DFN DFD Critical ScoreLevel of Sig DFN DFD Critical ScoreLevel of Sig DFN -1 -1 Err:502 0.05 -1 -1 Err:502 0.05 -1
  • 32. One-tail DFD Critical ScoreLevel of Sig DFN DFD Critical Score -1 Err:502 0.05 -1 #REF! #REF! Two-Tail DFD Critical ScoreLevel of Sig DFN DFD Critical Score -1 Err:502 0.05 -1 #REF! #REF!
  • 33. 64 73 69 75 78 73 82 71 69 74 61 79 71 73 66 63 69 68 74 75 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Row 1 5 359 71.8 29.7 Row 2 5 369 73.8 24.7 Row 3 5 350 70 47 Row 4 5 349 69.8 23.7 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 52.15 3 17.38 0.56 0.65 5.29 Within Groups 500.4 16 31.28 Total 552.55 19