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

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

Question

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

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

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many samples and build a confidence interval from each of them, 95% of those intervals would contain the true population mean µ.

Explain What the Phrase 95% Confident Means When We Interpret