Suppose you have constructed a 90% confidence interval of a population mean, (19.7, 21.2).

Decide which statement below is the correct interpretation of the results. Justify your choice, with as much detail as possible

1. With 90% confidence, the mean is in the interval (19.7,21.2).
2. There is a 90% probability that the actual mean will be in the interval (19.7,21.2).