Problem 11.16 analyzed the number of hours worked per week per person at five different plants. An

Question:

Problem 11.16 analyzed the number of hours worked per week per person at five different plants. An F value of 3.10 was obtained with a probability of 0.0266. Because the probability is less than 0.05, the null hypothesis is rejected at α = 0.05. There is an overall difference in the mean weekly hours worked at each plant. Which pairs of plants have significant differences in the means, if any? To answer this question, a Minitab computer analysis was done. The data follow. Study the output and discuss the results.

Data from Problem 11.16

Business is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company’s five plants. However, management is not certain whether there is a difference between the five plants in the average number of hours worked per week per worker. Random samples of data are taken at each of the five plants. The data are analyzed using Excel. The results follow. Explain the design of the study and determine whether there is an overall significant difference between the means at α = 0.05. Why or why not? What are the values of the means? What are the business implications of this study to the chemical company?