The admissions director for a university found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Is the following explanation correct, based on that information? If we take many samples, about 95% of them will contain the interval (108.7, 116.2) Correct. That is the meaning of 95% confidence. Incorrect. There is a 95% probability that the interval from 107.8 to 116.2 contains x. Incorrect. 95% of the students at this university have an IQ between 107.8 and 116.2. Incorrect. It doesn't make sense to say that a sample contains an interval. Incorrect. It should say that there is a 95% probability that the interval from 107.8 to 116.2 contains μ.

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