Suppose that the population of middle-school children has a mean of 350 on a reading test and σ = 50. Assume normality. What is the probability that a mean will be greater than 370 with a sample of 25...

Suppose that the population of middle-school children has a mean of 350 on a reading test and σ = 50. Assume normality. What is the probability that a mean will be greater than 370 with a sample of 25 students?

Leave the probability in decimal form (do not convert to percentage).

Round to the nearest ten thousandth. (4 decimal places)