It is desired to investigate whether the departments of the first year engineering department students of a university's engineering faculty affect the success. For this, 3 engineering departments and 5 students randomly from these departments were selected. The grades these students received from the physics course are given in the table below. According to this table, test whether the effect of the students' departments on success is the same or not at the 0.05 significance level.  a) 6.11  B) 1.87  NS) 4.12  D) 2.72  TO) 3.23

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It is desired to investigate whether the departments of the first year engineering department students of a university's engineering faculty affect the success. For this, 3 engineering departments and 5 students randomly from these departments were selected. The grades these students received from the physics course are given in the table below. According to this table, test whether the effect of the students' departments on success is the same or not at the 0.05 significance level.

 a)

6.11

 B)

1.87

 NS)

4.12

 D)

2.72

 TO)

3.23

Chapters
Ös
80
53
60
79
95
industrial engineering
Computer engineering
75
65
90
50
47
Mechanical Engineering
70
73
55
62
76
Transcribed Image Text:Chapters Ös 80 53 60 79 95 industrial engineering Computer engineering 75 65 90 50 47 Mechanical Engineering 70 73 55 62 76
Expert Solution
Step 1

From the given information,

Chapters Q1 Q2 Q3 Q4 Q5
Industrial engineering 80 53 60 79 95
Computer engineering 75 65 90 50 47
Mechanical engineering 70 73 55 62 76

Now, assign the ranks for values row wise.

Chapters Q1 Q2 Q3 Q4 Q5
Industrial engineering 80(4) 53(1) 60(2) 79(3) 95(5)
Computer engineering 75(4) 65(3) 90(5) 50(2) 47(1)
Mechanical engineering 70(3) 73(4) 55(1) 62(2) 76(5)
Rank total(Ti) 11 8 8 7 11

Here, k=5 and n=3

 

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