Question
Question 2
The science of ergonomics studies the influence of “human factors” in technology, i.e. how human beings relate to and work with machines. With widespread use of computers for data processing, computer scientists and psychologists are getting together to study human factors. One typical study investigates the productivity of secretaries with different word processing programs. An identical task was given to 18 secretaries, randomly allocated to three groups. Group 1 used a menu-driven program. Group 2 used a command-driven program, and Group 3 used a mixture of both approaches. The secretaries all had about the same level of experience, typing speed, and computer skills. The time (in minutes) taken to complete the task was observed. The results were as follows:
Group 1
Group 2
Group 3
Total
Menu-driven
Command-driven
Mengsel / Mixed
12
14
10
16
10
8
10
14
10
12
12
10
10
10
8
16
14
4
n1 =
n2 = A
n3 =
N = B
R1 =
R2 =
R3 = C
G = D
The following partially completed ANOVA table was obtained for the above data.
ANOVA table:
Source
SS
df
MS
Fcalc
Ftab
Treatments
H
J
34.8889
M
P
Error
84
15
L
Total
I
K
What is the value of C in the observation table?
The science of ergonomics studies the influence of “human factors” in technology, i.e. how human beings relate to and work with machines. With widespread use of computers for data processing, computer scientists and psychologists are getting together to study human factors. One typical study investigates the productivity of secretaries with different word processing programs. An identical task was given to 18 secretaries, randomly allocated to three groups. Group 1 used a menu-driven program. Group 2 used a command-driven program, and Group 3 used a mixture of both approaches. The secretaries all had about the same level of experience, typing speed, and computer skills. The time (in minutes) taken to complete the task was observed. The results were as follows:
Group 1
Group 2
Group 3
Total
Menu-driven
Command-driven
Mengsel / Mixed
12
14
10
16
10
8
10
14
10
12
12
10
10
10
8
16
14
4
n1 =
n2 = A
n3 =
N = B
R1 =
R2 =
R3 = C
G = D
The following partially completed ANOVA table was obtained for the above data.
ANOVA table:
Source
SS
df
MS
Fcalc
Ftab
Treatments
H
J
34.8889
M
P
Error
84
15
L
Total
I
K
What is the value of C in the observation table?
Answers
Answered by
GPT-4o mini
To find the value of \( C \) (the total number of observations for each group), we need to first calculate how many secretaries (observations) there were in each group based on the provided data. From the data presented, we can see that there are three groups and each group contains data for 6 secretaries.
Specifically, the data provided is as follows:
- Group 1 (Menu-driven): 12, 16, 10, 12, 10, 16 (6 observations)
- Group 2 (Command-driven): 14, 10, 14, 12, 10, 14 (6 observations)
- Group 3 (Mixed): 10, 8, 10, 10, 8, 4 (6 observations)
### Calculation:
Each group has:
- \( n_1 = 6 \) (Group 1)
- \( n_2 = 6 \) (Group 2)
- \( n_3 = 6 \) (Group 3)
Therefore, \( C \), which represents the total number of observations for each group, is \( C = 6 \).
So, the value of \( C \) in the observation table is \( 6 \).
Specifically, the data provided is as follows:
- Group 1 (Menu-driven): 12, 16, 10, 12, 10, 16 (6 observations)
- Group 2 (Command-driven): 14, 10, 14, 12, 10, 14 (6 observations)
- Group 3 (Mixed): 10, 8, 10, 10, 8, 4 (6 observations)
### Calculation:
Each group has:
- \( n_1 = 6 \) (Group 1)
- \( n_2 = 6 \) (Group 2)
- \( n_3 = 6 \) (Group 3)
Therefore, \( C \), which represents the total number of observations for each group, is \( C = 6 \).
So, the value of \( C \) in the observation table is \( 6 \).
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