Question

true or false A .95 confidence equal to (12, 24) means that 95% of all individuals have a value between 12 and 24.

Answer 1

The statement is that, " A 0.95 confidence interval equal to (12,24) means that 95% of all individuals have a value between 12 and 24."

This statement is FALSE.

Confidence actually means the probability of getting a sample with which a population parameter lies within the corresponding interval. So, when we are saying that 95% confidence interval is (12, 24), we actually mean that if we keep on taking samples from the population, then in 95% of these samples, the population parameter will lie between 12 and 24; ie. the chance of getting a sample where the population parameter lies between 12 and 24, is 0.95.

This explains why the given statement is FALSE.