Explanation:

- Statement I says the school has impressive research facilities.

- Statement II highlights the lack of interest among students towards education.

- Option 1: "Owing to" implies a cause-and-effect relationship, which doesn’t exist here.

- Option 2: "Hence" indicates consequence, which doesn't fit as the two statements aren't causally related.

- Option 3: "Because of" also suggests a cause-effect scenario, which isn't applicable here.

- Option 4: "However" contrasts the school’s resources with students' disinterest, suitable for combining these contrasting ideas.

- Option 5: "None of the above" isn't relevant since one option does fit.

The correct connector is:

- Option 4: However