Question

In: Statistics and Probability

PLEASE NOTE THE LAST ANSWER COULD NOT BE UNDERSTOOD STANDARD LENGTH (mm) DEPTH (mm) HORIZONTAL GAPE...

PLEASE NOTE THE LAST ANSWER COULD NOT BE UNDERSTOOD

STANDARD LENGTH (mm)

DEPTH (mm)

HORIZONTAL GAPE (mm)

Hogan

Malone

Preserved

Hogan

Malone

Preserved

Hogan

Malone

Preserved

141

54

106

66.1

21.1

55

14.3

4.9

9.1

126

96

65

57.1

46.1

27

12.4

8.4

5.9

72

59

106

29.1

25.7

55

6.1

5.3

10.2

56

48

40

22.1

18.4

15

5

4.5

2.9

112

124

45

47.1

59.5

20

8.9

11.2

3.9

96

84

130

39.4

36.2

70

8.9

6.9

12.6

112

51

115

42.6

20.6

60

9.2

5

10.3

153

58

100

73.3

25.2

50

15.6

5.4

8.3

141

109

40

70.7

57.8

18

13.6

11.3

4.3

70

86

44

27.9

31.6

17

6.4

6

4.1

65

47

95

25.8

15.3

45

5.6

3.5

7.8

78

112

51

32.7

55.7

22

7.7

10.7

4.1

73

71

90

29.9

30.2

42

6.1

5.7

8.5

87

113

44

36.4

52.1

20

8.3

8.9

4.4

121

49

55

60.4

20

25

11.5

5.1

5.6

101

93

45

44

43.5

16

10.3

8

3.6

104

66

39

47.4

28.1

15

11

4.6

3.4

114

52

95

51.2

20

46

9.9

4.5

8.4

Your ANOVA variable is Depth

Is the mean of your variable (standard length, depth, or horizontal gape) the same for all three of the Bluegill collections?


(i) State the hypotheses the ANOVA is testing. You may refer to Hogan as population #1, Malone as population #2, and Preserved as population #3. (2 pt)


H0: ________________                                         Ha: ________________

Complete the ANOVA table. Please enter your answer to 3 decimal places (3 pt)

df

SS

MS

F

p-value

Factor (Group)

Error

State conclusion: Are the means significantly different for this variable among the three fish collections? (Use α = 0.05.) Please include a sentence on how the means of the three groups compare, if you conclude the differences are significant. (3 pt)

___________________________

Solutions

Expert Solution


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