A new production process is being contemplated for themanufacture of stainless steel bearings. Measurements of thediameters of random samples of bearings from the old and newprocesses produced the following data (all in mm): Old
Old | New |
16.3 | 15.9 |
15.9 | 16.2 |
15.8 | 16.0 |
16.2 | 15.8 |
16.1 | 16.1 |
16.0 | 16.1 |
15.7 | 15.8 |
15.8 | 16.0 |
15.9 | 16.2 |
16.1 | 15.9 |
16.3 | 15.7 |
16.1 | 16.2 |
15.8 | 15.8 |
15.7 | 15.8 |
15.8 | 16.2 |
15.7 | 16.3 |
.
A. Can you conclude that the variances between the new and oldprocedure are different? Use formal hypothesis testing.
b. Can you conclude that there is a difference in mean diameterbetween the procedures? Use formal hypothesis testing.
c. Management wants to know if the new procedure is comparableto the old procedure. What can you tell them? (Give a yes/no answerand your reasoning, based on statistics.)
