Question

Suppose x has a distribution with μ = 24 and σ = 18. (

a) If a random sample of size n = 32 is drawn, find μx, σ x and P(24 ≤ x ≤ 26). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(24 ≤ x ≤ 26) =

(b) If a random sample of size n = 67 is drawn, find μx, σ x and P(24 ≤ x ≤ 26). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(24 ≤ x ≤ 26) =

(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