Question

Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = Incorrect: Your answer is incorrect. (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is Correct: Your answer is correct. part (a) because of the Correct: Your answer is correct. sample size. Therefore, the distribution about μx is Correct: Your answer is correct. .

Answer 1