Question: Suppose you are the manager of Reed Manufacturing and you were interested in testing if the mean number of hours worked each week is the same for managers at three plants (Buffalo, Pittsburgh, and Detroit). You selected a simple random sample of 5 managers from each of the three plants. The data you collected are shown below:

Observation Plant 1 ( Buffalo ) Plant 2 ( Pittsburgh ) Plant 3 ( Detroit)
1 48 73 51
2 54 63 63
3 57 66 61

5 62 74 56

Based on your readings of ANOVA, develop the statistical hypotheses, and do the testing using a statistical software such as Minitab or excel or your calculator. Show and discuss the computer results and your conclusion.