Question 1. The following table summarizes the results of the test on the three branches.
SUMMARY 

Groups 
Count 
Sum 
Average 
Variance 

Branch 1 
5 
266 
53.2 
177.2 

Branch 2 
5 
340 
68 
147.5 

Branch 3 
5 
389 
77.8 
178.7 

ANOVA 

Source of Variation 
SS 
df 
MS 
F 
Pvalue 
F crit 
Between Groups 
1533.73 
2.00 
766.87 
4.57 
0.03 
3.89 
Within Groups 
2013.60 
12.00 
167.80 

Total 
3547.33 
14.00 
a) Interpret the results of the ANOVA.
b) Which branch deserves the reward for its performance?
Question 2: Fatima is working on the compensation package of employees, and is considering the following factors that may influence an employee’s salary.
Identify the independent and dependent variables.
Question 3. The results of the correlation analysis in the Correlation Matrix these variables are depicted below. Use information in the table to discuss the strength and nature of relationship between the four variables.
Training 
Performance 
Years of Service 
Annual Salary 

Training 
1 

Performance 
0.016 
1 

Years of Service 
0.377 
0.268 
1 

Annual Salary 
0.597 
0.709 
0.286 
1 
Que.1
a.
Pvalue for F test is 0.03, which is less than 0.05, hence we conclude that at least one branch's test score is significantly different than others.
b.
Since branch 3 has maximum mean test score, hence branch 3 deserves the reward for its performance.
Que.2
Independent variables = Training, Performance, Years of service
Dependent variable = Annual salary
Que.3
1. There is high degree positive correlation (r = 0.597) between the number of training hours received by the employee and his/her annual salary.
2. There is very high degree positive correlation (r = 0.709) between the average performance score of an employee and his/her annual salary.
3. There is low degree positive correlation (r = 0.286) between the number of years an employee has worked for the company and his/her annual salary.
Get Answers For Free
Most questions answered within 1 hours.