Suppose x has a distribution with [,1 = 10 and a = 5. (a) If a random sample of size n = 46 is drawn, nd [1,}, a; and P(10 S )7 S 12). (Round (1,; to two decimal places and the probability to four decimal places.) m= HO .1 a}: .74 P(105s 12) = .3413 x (b) If a random sample of size n = 67 is drawn, nd p}, a; and P(10 S )7 S 12). (Round 0; to two decimal places and the probability to four decimal places.) m= 10 v a}: .61 P(10 5 )75 12) = (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 l smaller than 3 part (3) because of the l larger 3 sample size. Therefore, the distribution about y; is l narrower 3 Need Help? _ SuhmitAnswer Save Pgmss l PmacAnotherVersion