Question: A 95-percent confidence interval is constructed for the population mean, and the interval is found to be (70, 80). What is conceptually incorrect about the following probability statements?

a. the probability is .95 that population mean falls into the interval

b. the probability is .05 that population mean lies outside the interval.

c. the probability is . 025 that population mean is greater than 80

d the probability is .025 that population mean is less than 70