Supposexhas a distribution with=30and=22.

(a) If a random sample of sizen=49is drawn, find_x,_xandP(30x32). (Round_xto two decimal places and the probability to four decimal places.)_x=_x=P(30x32) =

(b) If a random sample of sizen=60is drawn, find_x,_xandP(30x32). (Round_xto two decimal places and the probability to four decimal places.)_x=_x=P(30x32) =

(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

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larger than

the same as

smaller than

part (a) because of the

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same

smaller

larger

sample size. Therefore, the distribution about_xis

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wider

narrower

the same

.