help please

6. [40.22 Points] DETAILS BBUNDERSTAT12 6.5.0115. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose xhas a distribution with pt = 16 and 0' = 11. IE USE SALT (a) It a random sample of size n = 89 is drawn, find pt}, 0';and PUB :1 :15 18}. (Round 0';to two decimal places and the probability to four decimal places.) E S we 18) =: (b) If a random sample of size n = 59 is drawn, nd pt}. 0' ;and PUB 5 x5 18}. [Round ago two decimal places and the probability to 1:04. r decimal places} PL}: DX: mm: to) Why should you expect the probability of part {b} to be higher than that of part la]? {Hint Consider the standard deviations in parts {a} and (le The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about pi; is Select V