A steel company is considering the relocation of one of its manufacturing plants. The company’s executives have selected three areas that they believe are suitable locations. However, they want to determine if the average wages are significantly different in any of the locations, since this could have a major impact on the cost of production. A survey of hourly wages of similar workers in each of the three areas is performed with the following results. Do the data indicate a significant difference among the average hourly wages in the three areas?

Hourly Wages ($)
Area 1 Area 2 Area 3
16
24
11
8
18
9
25
15
16
24
25
25
24
23
11
23
23
15
23
16
10
18
17
21
Step 2 of 2 : Make the decision to reject or fail to reject the null hypothesis of equal average hourly wages in the three areas and state the conclusion in terms of the original problem. Use α=0.05
.