Question

1. There is a population of three people: Xerxes, Yasmin, and Zoe. [Note: this is a population, not a sample.] They are asked how many books they read last month. Xerxes read 2 books, Yasmin read 4 books, and Zoe read 12 books. We are too lazy to poll the entire population, so we take a sample of two (with replacement and order matters). Please draw the sampling distribution of the mean ofa sample of size two. 2. Continuing with the above example, what is the probability that the sample average will be within two books of the population average? 3. Continuing with the above example, what is the standard error of the sampling distribution of the mean for a sample of size two? (In other words, what is the standard error for the distribution drawn in the first question.) 4 Continuing with the above example, calculate the standard error of the sampling distribution of the mean for a sample of size two in a completely different way than you calculated it in question 3.

Answer 1

(2, 2) 211 (4, 2 (4。4) 6 4 C12, 4) ( 12,ツ 2. 12-

78 128 16 3 9.3333 . SEI勼!

4) SE an SD 320 ) 2