In: Statistics and Probability
A researcher wants to examine the production capability of three manufacturing plants that utilize different production methods of the same part in order to select a plant as a supplier for a company. The effectiveness of each plant will be measured in the number of parts it can produce in an hour. Representative hourly production amounts are recorded from each plant over a period of 12 hours and provided to the researcher.
The results of each of the three plants are as follows:
Plant A |
Plant B |
Plant C |
131 |
141 |
108 |
111 |
165 |
185 |
165 |
174 |
190 |
188 |
185 |
206 |
175 |
172 |
175 |
173 |
188 |
197 |
188 |
145 |
186 |
186 |
177 |
221 |
145 |
162 |
214 |
132 |
151 |
211 |
128 |
147 |
214 |
123 |
133 |
208 |
Use the five-step hypothesis testing process. Perform a complete analysis and interpretation of the results. If appropriate, use diagrams or graphs. Ensure your answer is detailed in all aspects. Be sure to comment on the assumptions of the ANOVA and if there are any violations. Which manufacturing plant, if any, would you recommend as the supplier? Why?