Given a normal population with mean 250 and standard deviation 10, a) Should P(X 259) be

Question:

Given a normal population with mean 250 and standard deviation 10,
a) Should P(X̅ ≤ 259) be greater or smaller than 0.5?
b) For which sample size, n = 30 or n = 20 would P(X̅ ≤ 259) be greater?
c) For which sample size, n = 30 or n = 20, would P(X̅ > 265) be greater?

Fantastic news! We've Found the answer you've been seeking!