In: Statistics and Probability
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)
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