Given information
A personal trainer is putting together a weight-lifting program for her clients. For a 
program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
Step-by-step explanation
As stated in the problem, personal trainers take care of their clients in a program. While doing so she has noticed that the maximum weight lifted by their client matched with the maximum weight each week.
In order to do such analysis, firstly she has to decide that what the maximum weight expectation is and then compare the actual weight with the maximum decided weight. Therefore, such a study can use a goodness-of-fit test to compare both the observations.
Hence, the goodness-of-fit test is the most appropriate test that can be applied in this scenario.
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