Find the interval [μ - zσ / √n, μ + zσ / √n] within which 90 percent of the sample means would be expected to fall, assuming that each sample is from a normal population.
a. μ = 100, σ = 12, n = 36
b. μ = 2,000, σ = 150, n = 9
c. μ = 500, σ = 10, n = 25