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The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Comment

The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Comment on whether each of the following explanations is correct.

A. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains .

B. There is a 95% chance that the interval (107.8, 116.2) contains

C. This interval was constructed using a method that captures the true mean in 95% of all possible samples.

D. 95% of all possible samples will contain the interval (107.8, 116.2).

E. The probability that the interval (107.8, 116.2) captures is either 0 or 1, but we don't know which.

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