Suppose That 100 Samples of Size $n = 50$ Are Independently Chosen from the Same Population and That Each

question 85

Essay

Suppose that 100 samples of size $n = 50$ are independently chosen from the same population and that each sample is used to construct its own $95 \%$ confidence interval for an unknown population mean $\mu$ . How many of the 100 confidence intervals would you expect to actually contain $\mu$ ?

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Definitions:

Curse Of Knowledge Effect

A cognitive bias that occurs when someone, knowing something, cannot remember or imagine not knowing it, leading to communication challenges.

Negative Emotion

A feeling that is generally considered to be unpleasant or detrimental, such as sadness, anger, or fear.

Social Norms

Informal understandings that govern the behavior of members of a society or group, dictating what is considered acceptable.

Maintain Confidences

The ethical or professional duty to keep certain information private or secret, not disclosing it to unauthorized individuals or entities.