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variety

number collected

observed

expected

(O-E)

(O-E)²

(O-E)²/E

NAME

Kevin

Kevin S

AJ

Billy

Kyle

Tom

Renz

Vincent

Minh

Michael

Eric

Ed

Ryan

TAN

4

13

2

7

3

8

8

9

2

12

8

7

3

86

61.85714

24.14286

582.8776

9.42

TEAL

1

5

5

6

9

5

10

7

3

5

5

9

8

78

61.85714

16.14286

260.5918

4.21

WHITE

9

3

2

6

7

11

11

9

1

8

8

4

7

86

61.85714

24.14286

582.8776

9.42

PINK

5

5

9

6

6

4

5

10

3

6

5

4

2

70

61.85714

8.142857

66.30612

1.07

WINE

7

4

1

2

5

6

7

4

6

2

8

4

0

56

61.85714

-5.85714

34.30612

0.55

BLUE

6

10

6

7

1

14

3

7

2

7

8

6

5

82

61.85714

20.14286

405.7347

6.56

MEDIUM BROWN

2

1

2

0

5

1

3

1

0

0

2

1

0

18

61.85714

-43.8571

1923.449

31.10

BRIGHT GREEN

0

2

4

1

4

3

3

0

5

1

2

5

6

36

61.85714

-25.8571

668.5918

10.81

YELLOW

8

7

6

3

5

4

8

4

6

5

10

1

7

74

61.85714

12.14286

147.449

2.38

DARK GREEN

2

5

1

2

1

2

4

1

4

1

5

2

1

31

61.85714

-30.8571

952.1633

15.39

ORANGE

3

8

4

6

4

3

6

13

9

7

9

6

7

85

61.85714

23.14286

535.5918

8.66

PEACH

2

4

4

4

7

7

5

5

8

2

5

2

9

64

61.85714

2.142857

4.591837

0.07

CHOCOLATE

0

2

0

0

1

1

0

1

0

0

0

1

1

7

61.85714

-54.8571

3009.306

48.65

OFF-White

4

1

13

7

7

12

16

8

3

4

5

5

8

93

61.85714

31.14286

969.8776

15.68

53

70

59

57

65

81

89

79

52

60

80

57

64

866

degrees of freedom = 13

S

163.99

Probability of rejecting  the random hypothesis is much greater than 99.5%