Supposexhas a distribution with=23and=21.

(a) If a random sample of sizen=44is drawn, find_x,_xandP(23x25). (Round_xto two decimal places and the probability to four decimal places.)

• _x=
• _x=
• P(23x25) =

(b) If a random sample of sizen=68is drawn, find_x,_xandP(23x25). (Round_xto two decimal places and the probability to four decimal places.)

• _x=
• _x=
• P(23x25) =

(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--- (smaller, same, larger) sample size. Therefore, the distribution about_xis---Select--- (wider, narrower, the same).