Determine the appropriate test to be used in the next three exercises.

A personal trainer is putting together a weight-lifting program for her clients. For a $90$-day 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.

Given in the question that a personal trainer is putting together a weight-lifting program for her clients. For a $90$-day 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. we have to determine the appropriate test to be taken here.

In the scenario, a personal trainer is caring for a client who is participating in a $90$-day programme. She noted that the maximum weight lifted by their client corresponded to the maximum weight each week while doing so. To perform this type of analysis, she must first determine the maximum weight expectation and then compare the actual weight to the maximum weight determined. As a result, the goodness-of-fit test can be used to compare both observations in this type of investigation.