Question:
Hypothesis Testing for Two Populations
Caption: Labor negotiations have reared their ugly head again!
TNH Industry Human Resources department is concerned about the perception of the hours worked per week at the India facility compared to hours worked at the China facility. Sunila, the HR Manager has asked for your help.
Sunila: The India managers claim they are working more hours than the China managers, for the same compensation. We need to know if this is real, or if this is just a rumor that has taken on a life of its own.
Caption: Morale at the India facility is down and the labor situation there has grown increasingly contentious.
Manny: Let's tackle this head on. Let's take a look at the hours worked per person at each facility. Can you analyze this data?
|
India Facility
|
China Facility
|
|
Mean
|
62.5
|
39.7
|
|
Standard Dev
|
23.7
|
8.9
|
Questions:
Assume a normal distribution. From the India facility, 175 samples were obtained and compared with a sample of 168 from the China facility. The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were:
Using this data, complete the following:
1. State your hypothesis and conduct a hypothesis testing using a significance of 0.10.
2. What is your conclusion? And why? Interpret it.