M4b: Hypothesis Testing for Two Populations Scenario Assignment

Scenario Script:

Caption: Labor negotiations have reared their ugly head again!

Princess Foods Corporation's Human Resources department is concerned about the perception

of the hours worked per week at the Baltimore facility compared to hours worked at the

Burlington facility. Parthika, the HR Manager has asked for your help.

Parthika: The Baltimore managers claim they are working more hours than the Burlington

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 Baltimore facility is down and the labor situation there has grown

increasingly contentious.

Bonnie: 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?

Assignment

Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and

compared with a sample of 128 from the Burlington 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:

Baltimore facility Burlington facility

Mean 52.5 Mean 39.7

Standard deviation 19.7 Standard Deviation 8.9

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.

Please show step by step and provide explanations for no. 2.

Since the sample is larger than 30, can we use Z test , if you use t test please explain why.

Please I have to copy the answer , don't use pdf or photo om paper. I need to copy it on my excel sheet.