TRUE or false A researcher found 95 confident interval for t

TRUE or false

A researcher found 95 confident interval for the average age of SMU students. It does mean that there is a 95% chance that the population average lies in the inverval

Solution

the statement is false.

the population average is not a random variable. it is a constant. so there is no chance or probability associated with it.. so the statement there is a 95% chance that the population average lies in the inverval has no meaning.

the correct statement is there is a 95% chance that the interval contains the actual population average.

as here the interval is the random quantity. so the probability is associated with the interval.