Concerning Confidence Intervals, Which Statement Is Most Nearly Correct

question 54

Multiple Choice

Concerning confidence intervals, which statement is most nearly correct?

• A)We should use z instead of t when n is large.
• B)We use the Student's t distribution when σ is unknown.
• C)We use the Student's t distribution to narrow the confidence interval.

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Definitions:

P(A ∩ B)

The probability of the intersection of events A and B, representing the likelihood that both events occur simultaneously.

P(A ∪ B)

Represents the probability of the occurrence of at least one of two events, A or B, including the case where both events occur simultaneously.

P(A ∩ B)

The probability that events A and B both occur, also known as the intersection of A and B.

Venn Diagram

A graphical representation for showing symbolically the sample space and operations involving events in which the sample space is represented by a rectangle and events are represented as circles within the sample space.