In all of these cases the difference between spoken and written English has played an important role. Each of these examples introduce informality which more effective technical writing typically avoids.
In that same vein, some writers use the word some (which is an adjective meaning an undetermined quantity or a pronoun meaning certain unspecified persons) in place of the word somewhat (which is an adverb meaning to an extent). While this practice may find acceptance in speech, more effective technical writing is structurally sound in its grammar.
This means the writer should revise the example sentence in the cropped graphic above. Here are two alternatives, both of which are acceptable.
Quality has improved somewhat since the implementation of Six Sigma at the factory.