Suppose x has a distribution with =20 and 0=17. (a) If a random sampi.pdf

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Suppose x has a distribution with =20 and 0=17. (a) If a random sampie of sire n=39 is drawn, find p; and P(20x~22). (Round ;to two decimal places and the probability to four decimal places.) Hi=p==P(20x22)= (b) If a random sample of size A i 58 is drawn, find y,; and A(20 s xs.22 ). (Round o ; to two decimal places and the probability to four decimal places.) =j=P(20x22)= (c) Why shovld you expect the probabilty of part (b) to be higher than that of part (a)? (hint: Consider the standard deviabions in parts (a) and (b).) The standard deviation of part (b) is a part (a) because of the a sample site. Therefore, the distrbution about is.

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