At a solar turbine company there are six compressors built into a new model of turbine. The alignment team assigned to the turbine has the responsibility of making sure the compressors all work equally, otherwise one might blow out earlier than it should. After 200 test runs on their turbine here are statistics on each of the compressors:
Compressor 1: Mean = 25, sd = 5
Compressor 2: Mean = 27, sd = 4
Compressor 3: Mean = 30, sd = 5
Compressor 4: Mean = 49, sd = 5
Compressor 5: Mean = 29, sd = 4
Compressor 6: Mean = 25, sd = 3
- Run an F test to see if all of the compressors could have different outputs based on our sample data.
- Which compressor do you think is going to be statistically different from the others in terms of work output
- Run a test to see if all of the compressors other than compressor 4 are different from each other.