In the mid-1920’s the Hawthorne Works of the Western Electric Company was the scene of an intensive series of experiments
that would investigate changes in working conditions as to their effects on workers’ performance.
Option elimination -
(A) that would investigate changes in working conditions as to their effects on workers’ performance - "their" reference is ambiguous. It can refer to "working conditions" or "changes in working conditions" or "experiments."
"would investigate" is a hypothetical construction - We don't need a hypothetical here for investigating as this investigation happened 100 years ago.
(B) investigating the effects that changes in working conditions would have on workers’ performance - yes, it's weird to say experiments investigating the effects, but all five options have that issue, so at best, it's a red herring. Important is you notice the right meaning - investigating the effects. What effects - changes in working conditions on the worker's performance.
Here, "would have" is used as a conditional as well, but here it is used to show that the experiments are investigating the potential effects of changes in working conditions.
(C) for investigating what are the effects in workers’ performance that changes in working conditions would cause - "the effects" is better than "what are the effects."
(D) that investigated changes in working conditions’ effects on workers’ performance - investigated changes in effects on performance - wrong.
(E) to investigate what the effects changes in working conditions would have on workers’ performance - investigate effects would have on performance - wrong. Its the changes that would have effects on work performance.