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In Constructing a Confidence Interval for a Mean with Unknown

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In constructing a confidence interval for a mean with unknown variance with a sample of 25 items, Bob used z instead of t. "Well, at least my interval will be wider than necessary, so it was a conservative error," said he. Is Bob's statement correct?


Definitions:

Dyadic Leader-Member Relations

The interactional pattern and relationship quality between a leader and each individual member within a team or organization.

Real-World Organisations

Entities operating in society that perform functions or provide services, including businesses, government agencies, non-profits, and other structured groups.

Psychological Benefits

Refers to the positive effects on a person's mental health and well-being that result from certain activities, therapies, or situations.

Leader-Member Exchange Theory

A theory focusing on the two-way relationship (dyadic relationships) between leaders and followers, emphasizing the mutual benefits derived from high-quality exchanges.

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