Final answer:
Lindy uses an authoritarian style of communication, where she expects her children to follow directions independently and without questioning. This style values conformity and obedience and contrasts with the more balanced authoritative style.
Step-by-step explanation:
Lindy's approach to directing each of her children to carry out an aspect of a task, where the children work independently, is indicative of an authoritarian style of communication. In this context, communication flows from the top down, which is a characteristic of authoritarian group leadership. Unlike the authoritative parenting style that involves reasonable demands, consistent limits, and a balance of warmth, affection, and structure, the authoritarian style places a high value on conformity and obedience. Authoritarian parents typically set strict rules and expect those rules to be followed without exception. It's important to note that, although the authoritative style is generally preferred in modern American society, the efficacy of parenting styles can vary across different cultures and socio-economic backgrounds.