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  • 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
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. 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
  • 9. 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
  • 10. 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
  • 11. 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
  • 12. 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
  • 13. 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
  • 14. 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
  • 15. 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
  • 16. 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
  • 17. 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
  • 18. 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
  • 19. 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!
  • 20. 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