Explain What the Phrase 95% Confident Means When We Interpret

question 114

Multiple Choice

Explain what the phrase 95% confident means when we interpret a 95% confidence interval for μ.

• A) In repeated sampling, 95% of similarly constructed intervals contain the value of the population mean.
• B) 95% of similarly constructed intervals would contain the value of the sampled mean.
• C) 95% of the observations in the population fall within the bounds of the calculated interval.
• D) The probability that the sample mean falls in the calculated interval is 0.95.

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Definitions:

Authority

The power or right to give orders, make decisions, and enforce obedience.

Adjudicate

To make a formal decision or judgment about a dispute or a legal case through the judicial process.

Controversy

A dispute or disagreement, often public, that involves differing opinions on a particular matter.

Stare Decisis

A legal principle that dictates courts should follow precedents set in previous case law when making decisions.