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Which of the following statements are correct interpretations of a 95% confidence interval for μ?
(a) 95% of the observations in the sample will be contained in the confidence interval.
(b) 95% of the population will be contained in the confidence interval.
(c) 95% of the sample means will be contained in the confidence interval.
(d) Before the random sample was taken, there was a 95% probability of getting a sample which would give a confidence interval which contained ì. Thus, we are 95% confident our interval contains μ.
(e) 95% of the population means will be contained in the confidence interval.
(f) If repeated samples were taken, we would expect that 95% of the confidence intervals would contain μ and 5% would not.
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It is a numerical average, as equal to the sum of terms in a given series divided by the number of terms in that series is the mean which is also called the expected value.
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