Question

You construct a​ 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmuless than31.5. is the probability that mu is in this interval​ 0.95? explain.

Answer 1

No. It is not that the probability that $\mu$ is in the interval is 0.95 rather we are 95% confident that the true mean of the population will be in the stated interval.

Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.