Supposexhas a distribution with=16and=12.(a) If a random sample of sizen=44is drawn, find_x,_xandP(16x18). (Round_xto two decimal places and the probability to four decimal places.)

_x=

_x=

P(16x18) =

(b) If a random sample of sizen=71is drawn, find_x,_xandP(16x18). (Round_xto two decimal places and the probability to four decimal places.)

_x=

_x=

P(16x18) =

(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 larger than the same as part (a) because of the ---Select--- larger smaller same sample size. Therefore, the distribution about_xis ---Select--- narrower the same wider .