The time that a randomly selected individual waits for an elevator in an office building...

The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution μ = 0.5 and σ = 0.289.

a. Let be the sample mean waiting time for a random sample of 16 individuals. What are the mean and standard deviation of the sampling distribution of ?

b. Answer Part (a) for a random sample of 50 individuals. Draw a picture of a good approximation to the sampling distribution of when n = 50.