In Example D of Section 7.3.3, a 95% confidence interval for μ was found to be (1.44, 1....

In Example D of Section 7.3.3, a 95% confidence interval for μ was found to be (1.44, 1.76). Because μ is some fixed number, it either lies in this interval or it doesn’t, so it doesn’t make any sense to claim that P(1.44 ≤ μ ≤ 1.76) = .95. What do we mean, then, by saying this is a “95% confidence interval?”

Reference

A particular area contains 8000 condominium units. In a survey of the occupants, a simple random sample of size 100 yields the information that the average number of motor vehicles per unit is 1.6, with a sample standard deviation of .8. The estimated standard error of X is thus