Q: How do I write the problem statement for work-life balance and its impact on job satisfaction in universities?
Your topic is both interesting and relevant, given its immediate connection to academia.
At a high level, the problem statement has to discuss three things: what is the present state regarding the problem, what is the desired/ideal state, and how the remedies and solutions explored through your research may help attain this desired state.
In your case, you will probably have to begin by talking about the signs and expressions of work-life imbalance, such as working long hours and weekends, not taking personal time on the one hand one but also falling ill on the other hand, and so on. This will help set the context. Next, you will have to identify the factors that could be causing this imbalance (such as shortage of faculty) and the ways in which it affects job satisfaction (such as reduced engagement). Finally, you will have to offer some tentative solutions. For this, you would need to look at actions faculty can take (such as changes to their work and life), measures universities can implement (such as changes to policies), or a mix of the two.
For details on how to go about writing a problem statement and how to actually draft the statement, you may refer to this resource: The basics of writing a statement of the problem for your research proposal
For more information, you may look up the site using the relevant keywords.
Hope that helps. And all the best for your study!