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Assignment.6 fall 2016Question 1 10 MarksLet be a random sample of size 3 from a population with meanand variance .Consider the following two estimators of the meanWhich estimator should be prepared? (More efficient)Question 2 10 MarksWhy we call the standard deviation of the sample statistic as standard error of the statistic?Draw all possible samples of two letters each without replacement from the letters of the word “Management”. Find proportion of latter “M” in each sample. Also construct the sampling distribution of ‘M’.Question 3 10 MarksTen vegetables cans, all of the same size, have lost their labels. It is known that 5 contain tomatoes and 5 contain corns. If 5 are selected at random, what is the probability that all contain tomatoes? What is the probability that 3 or more contain tomatoes?For a machine making parts, there is a small probability of 0.001 for a part to be defective. The parts are supplied in bundles of 10. Calculate approximately the no of bundles containing no defective, one defective or two defectives in a consignment of 10,000 bundles, given that.….USE SPSS SOFTWARE & INTERPRET IT.

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