18. The manager of a computer repair service wants to determine whether there is a difference in the time it takes for four technicians to repair different brands of hard disk drives Th following table shows the times (in minutes) it took for each technician to repair three hard disk drives of each brand. Technician Brand Farah Rashid Chuan Zana A 67 82 64 42 56 39 69 47 38 70 44 50 B 44 62 55 47 58 62 55 45 66 47 29 40 C 47 36 68 39 74 51 74 80 70 45 62 59 Given that 3 3 4 3 43 = 3932289 x = 1315349 x = 989501 * = 337001 EE* =115611| %3D i=1 j=1 i=l j=l k=1 a. Complete the ANOVA table below. Source of Brand SS df MS F Technician Interaction Error 3277.33 Total 35 b. Since there is no interaction exists between the technicians and brands. At the a = 0.05 level of significance, test the effect on time taken for the technicians.

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18. The manager of a computer repair service wants to determine whether there is a difference in
the time it takes for four technicians, to repair different brands of hard disk drives. The
following table shows the times (in minutes) it took for each technician to repair three hard
disk drives of each brand.
Technician
Brand
Farah
Rashid
Chuan
Zana
A
67
82 64
42 56 39
69 47 38
70 44 50
44
62 55
47 58 62
55 45 66
47 29 40
C
47
36 68
39 74 51
74 80 70
45 62 59
Given that
3
3
4
3 4 3
= 3932289 x
- 1315349Σ-989501 ΣΣ =337001 ΣΣΣ
= 115611
%3D
i=1 j=1
i=1 j=l k=1
a. Complete the ANOVA table below.
Source of
SS
df
MS
F
Brand
Technician
Interaction
Error
3277.33
Total
35
b. Since there is no interaction exists between the technicians and brands. At the a =0.05
level of significance, test the effect on time taken for the technicians.
Transcribed Image Text:18. The manager of a computer repair service wants to determine whether there is a difference in the time it takes for four technicians, to repair different brands of hard disk drives. The following table shows the times (in minutes) it took for each technician to repair three hard disk drives of each brand. Technician Brand Farah Rashid Chuan Zana A 67 82 64 42 56 39 69 47 38 70 44 50 44 62 55 47 58 62 55 45 66 47 29 40 C 47 36 68 39 74 51 74 80 70 45 62 59 Given that 3 3 4 3 4 3 = 3932289 x - 1315349Σ-989501 ΣΣ =337001 ΣΣΣ = 115611 %3D i=1 j=1 i=1 j=l k=1 a. Complete the ANOVA table below. Source of SS df MS F Brand Technician Interaction Error 3277.33 Total 35 b. Since there is no interaction exists between the technicians and brands. At the a =0.05 level of significance, test the effect on time taken for the technicians.
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