Consider the sample data for plants A, B, C & D of the above company, which are tabulated in table 1.
Test whether the four means are equal at the 5% level of significance.
Perform a test that will compare all 4 means at once. We are not interested in pair-wise comparisons at this stage. Please show all the steps in your calculations.
Table 1:
| A |
B |
C |
D |
| 333 |
328 |
320 |
333 |
| 332 |
329 |
321 |
321 |
| 320 |
323 |
322 |
329 |
| 326 |
327 |
325 |
330 |
| 328 |
330 |
326 |
328 |
| 325 |
331 |
328 |
325 |
| 323 |
332 |
329 |
333 |
| 321 |
320 |
330 |
331 |
| 334 |
324 |
331 |
327 |
| 322 |
323 |
332 |
|
| 320 |
334 |
|
|
| 329 |
|
|
|
| 330 |
|
|
|
| 328 |
|
|
|
| 331 |
|
|
|
| 330 |
|
|
|