Suppose we have a collection of the heights of all students at your college. Each of the 250 people taking statistics randomly takes a sample of 40 of these heights and constructs a 95% confidence interval for mean height of all students at the college. Which of the following statements about the confidence intervals is most accurate?

A. About 95% of the heights of all students at the college will be contained in these intervals.
B. About 95% of the time, a student’s sample mean height will be contained in his or her interval.
C. About 95% of the intervals will contain the population mean height.
D. About 95% of the intervals will be identical.