Consider a population of size N=5, the members of which have values x₁,₂,3,. A distinct simple random sample design of size n=3 was drawn without replacem (i) How many sample of size n=3 are there? (ii) List all possible sample of size n = 3. (iii) Compute: (1) the sample mean for each sample. (2) the population mean μ. (3) the mean of a sample mean E(x). (iv) Interpret the results based on part (2) and part (3).
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- Suppose a simple random sample of size n = 125 is obtained from a population whose size is N = 30,000 and whose population proportion with a specified characteristic is p = 0.6Suppose that a random sample of size 1 is to be taken from a finite population of size N. a. How many possible samples are there?b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration.c. What is the difference between taking a random sample of size 1 from a population and selecting a member at random from the population?Let p1 and p2 be the respective proportions of women with iron-deficiency anemia in each of two developing countries. A random sample of 1900 women from the first country yielded 513 women with iron-deficiency anemia, and an independently chosen, random sample of 1700 women from the second country yielded 515 women with iron-deficiency anemia. Can we conclude, at the 0.10 level of significance, that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the values of the test statistic. c. FInd the p-value. d. Can we conclude that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country?