Explain What the Phrase $95 \%$ Confident Means When We Interpret A

Multiple Choice

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

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