Question

4. A population of size 200 consists of two strata, I and II. A simple random sample of size 40 is drawn without replacement from the population. (1) Suppose that strata I and II are of sizes 85 and 115 respectively. Let T be the number of selected individuals from stratum I. What is the probability distribution of T?

(2) For Question (1), find the expectation and variance of T.

(3) Suppose that you did not know the size of stratum I or II, and suppose that 18 of the 40 selected individuals were from stratum I and 22 were from stratum II. What would be your confidence interval for estimating the size of stratum I?

(4) For Question (3), what would be your confidence interval for estimating the size of stratum II?

Answer #1

thank you

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