For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test.  Those results are given below. Team 1 Team 2 Team 3 Team 4 Team 5 Team 6 Team 7 Team 8 Team 9 Team 10 87 98 103 105 90 108 94 108 97 109 81 91 80 87 78 91 82 89 90 87 70 85 78 77 77 77 76 76 86 76 64 82 77 74 72 67 75 72 73 69 63 76 64 62 70 60 66 66 69 68 62 56 63 57 64 58 62 63 66 67 56 48 55 56 57 54 55 51 58 57 55 44 48 53 52 53 49 49 50 56 52 42 42 47 39 47 46 46 48 56                 40 44   The summary statistics are: SUMMARY       Groups Count Sum Average Variance Team 1 9 590 65.55556 140.7778 Team 2 9 622 69.11111 470.3611 Team 3 9 610 67.77778 354.4444 Team 4 9 618 68.66667 351.25 Team 5 9 599 66.55556 237.5278 Team 6 9 615 68.33333 404.5 Team 7 9 605 67.22222 254.1944 Team 8 9 620 68.88889 409.6111 Team 9 10 677 67.7 365.1222 Team 10 10 689 68.9 342.7667   From just looking at the summary data, what conclusions might you draw?  (You may want to talk about average and/or variance)                             Here is the ANOVA Table ANOVA             Source of Variation SS df MS F P-value F crit Between Groups 109.3514 9 12.15016 0.036425 0.999994 1.996141 Within Groups 27352.33 82 333.565                     Total 27461.68 91           What conclusion is supported by the ANOVA analysis?

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For a local basketball league, there were 10 teams whose players were assigned to a team based on their score on an abilities test.  Those results are given below.

Team 1

Team 2

Team 3

Team 4

Team 5

Team 6

Team 7

Team 8

Team 9

Team 10

87

98

103

105

90

108

94

108

97

109

81

91

80

87

78

91

82

89

90

87

70

85

78

77

77

77

76

76

86

76

64

82

77

74

72

67

75

72

73

69

63

76

64

62

70

60

66

66

69

68

62

56

63

57

64

58

62

63

66

67

56

48

55

56

57

54

55

51

58

57

55

44

48

53

52

53

49

49

50

56

52

42

42

47

39

47

46

46

48

56

               

40

44

 

The summary statistics are:

SUMMARY

     

Groups

Count

Sum

Average

Variance

Team 1

9

590

65.55556

140.7778

Team 2

9

622

69.11111

470.3611

Team 3

9

610

67.77778

354.4444

Team 4

9

618

68.66667

351.25

Team 5

9

599

66.55556

237.5278

Team 6

9

615

68.33333

404.5

Team 7

9

605

67.22222

254.1944

Team 8

9

620

68.88889

409.6111

Team 9

10

677

67.7

365.1222

Team 10

10

689

68.9

342.7667

 

  1. From just looking at the summary data, what conclusions might you draw?  (You may want to talk about average and/or variance)

 

 

 

 

 

 

 

 

 

 

 

 

 

  1.  

Here is the ANOVA Table

ANOVA

           

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

109.3514

9

12.15016

0.036425

0.999994

1.996141

Within Groups

27352.33

82

333.565

     
             

Total

27461.68

91

 

 

 

 

 

What conclusion is supported by the ANOVA analysis?

 

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