A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.
Find the mean and standard error of the sampling distribution of the sample mean.
What is the probability that the mean age exceeds 73 years?
What is the probability that the mean age is at most 73 years?
What is the probability that two randomly selected retirees are over 73 years of age?