A random sample of n = 16 scores is selected from a normal distribution with a mean of μ = 50 and standard deviation of σ = 10.
a. What is the probability that the sample mean will have a value between 45 and 55?
b. What is the probability that the sample mean will have a value between 48 and 52?
c. What range of values has a 95% probability of containing the sample mean?