10.30 Suppose that in the illustration on page 242, where random samples of size n = 2 were drawn without replacement from the finite population that consists of the numbers 3, 5, 7, 9, and 11, sampling had been with replacement. (a) List the 25 ordered samples that can be drawn with replacement from the given population and calculate their means. (By "ordered" we mean that 3 and 7, for example, is a different sample than 7 and 3.) (b) Assuming that sampling is random, namely, that each of the ordered samples of part (a) has the probability, construct the sampling distribution of the mean for random samples of size n = 2 drawn with replacement from the given population. (10.30) 3 3 Me 5 CHAPTER 10 5 3 5 q. 3 5 11 3 5 11 3 5 5+5 . 15 ( 1 3&3, 3&5,387,389,3&11,5&3,585,587, 589, 5811, 743,785,747,789,7811, 983, 485, 987, 949, 9411, 443, H&5, H+7, H89, 11&11 Means: 3, 4, 5, 6, 7,4,5,6,7,8,5,6,7,8,9,6, 7,8,9,10,7,8,9,10,11