The correct syntax and grammar for this sentence is E: "Because cellular telephones emit signals that can interfere with cockpit-to-control-tower transmissions, airplane passengers’ use of these instruments when the airplane is in motion, even while on the ground, is prohibited. "
The two changes made to the original sentence are:
- replacing "at all times that" by "when." The meaning of the original phrase (any time the airplane is moving) is conveyed just as well by the term "when," and its shortness makes the already long sentence less heavy
- replacing "are" by "is." Writing "are" was incorrect because the subject of this verb is a singular: "airplane passengers’ use."