Determine the correct interpretations - confidence interval, Basic Statistics

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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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