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day number Plant 1 Plant 2 Plant 3 Plant 4 1 4 2 5 3 2 3 4 4 3 3 5 5 5 3

day number Plant 1 Plant 2 Plant 3 Plant 4
1 4 2 5 3
2 3 4 4 3
3 5 5 5 3
4 3 4 4 4
5 3 2 4 3
6 2 4 3 4
7 5 1 5 3
8 3 3 1 5
9 4 5 2 5
10 5 3 5 5
11 8 5 3 5
12 5 4 3 5
13 4 2 4 5
14 8 4 2 5
15 1 1 2 4
16 3 3 4 3
17 4 2 1 3
18 3 3 3 4
19 2 5 3 3
20 5 4 4 5
21 5 5 5 4
22 2 4 3 3
23 5 5 1 3
24 1 3 2 4
25 9 1 1 2
26 4 3 1 3
27 5 2 2 5
28 7 4 3 3
29 5 5 1 5
30 3 3 4 4
31 4 5 1 4
32 4 4 3 4
33 5 3 3 5
34 4 5 4 6
35 7 3 3 3
36 5 4 2 1
37 4 5 4 5
38 3 3 4 4
39 3 2 2 3
40 5 2 3 3
41 4 1 4 5
42 7 3 5 4
43 6 2 1 3
44 5 4 4 2
45 3 5 3 4
46 5 5 4 4
47 5 5 3 5
48 6 5 4 4
49 9 5 3 1
50 7 5 4 4

This data shows the number of employees' injuries reported in the first 50 days after a new device training session in each of the 4 production Plants of a certain company across the world.

a) Assuming significance level of 0.05, is there any significant difference in the injuries reported between these 4 Plants?

b) The manager is particully concerned about the results from Palnt 1 compared to plant 3. Is there evidence that the injury level at this Plant is significantly different from that of Plant 3?

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