Suppose x has a distribution with = 27 and = 24. (a) If a random sample of size n = 33 is drawn, find x, x and P(27 x 29). (Round x to two decimal places and the probability to four decimal places.) (b) If a random sample of size n = 63 is drawn, find x, x and P(27 x 29). (Round x to two decimal places and the probability to four decimal places.) (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 ---Select--- smaller than the same as larger than part (a) because of the ---Select--- same larger smaller sample size. Therefore, the distribution about x is ---Select--- the same wider narrower .x = x = P(27 x 29) =.

1. Suppose x has a distribution with = 27 and = 24.
(a) If a random sample of size n = 33 is drawn, find x, x and P(27 x 29). (Round x to two
decimal places and the probability to four decimal places.)
(b) If a random sample of size n = 63 is drawn, find x, x and P(27 x 29). (Round x to two
decimal places and the probability to four decimal places.)
(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 ---Select--- smaller than the same as larger than part (a)
because of the ---Select--- same larger smaller sample size. Therefore, the distribution about x is
---Select--- the same wider narrower .x = x = P(27 x 29) =