Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 82

Critical Thinking Suppose x has a distribution with = 15 and = 14.
(a) If a random sample of size n = 49 is down, find
,
, and
.
(b) If a random sample of size n = 64 is drawn, find
,
, and
.
(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).