Final answer:
The false statement about Lillian Gilbreth is that she was the first female psychologist to earn a Ph.D., as this achievement belongs to Margaret Floy Washburn.
Step-by-step explanation:
The statement that is false about Lillian Gilbreth is that she was the first female psychologist to earn a Ph.D. In fact, the first female to earn a doctorate degree in psychology was Margaret Floy Washburn. Lillian Gilbreth was indeed an industrial engineer and worked closely with her husband Frank Gilbreth. Together, they made significant contributions to time and motion studies, emphasizing efficiency in both industrial and household tasks. Among her innovations were the introduction of shelves inside refrigerator doors and the development of a foot pedal for the operation of trash can lids. She was also a pioneer in the field of industrial and organizational psychology and was the first woman to join the American Society of Mechanical Engineers.