Question

Suppose x has a distribution with μ = 19 and σ = 15. (a) If a random sample of size n = 48 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample of size n = 58 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (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 part (a) because of the sample size. Therefore, the distribution about μx is .

Answer 1