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Week 4 Exercise

Week 4 Exercise

Q Suppose that we will take a random sample of size n from a population having mean µ and standard deviation ?. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean : (a) µ = 16, ? = 2, n = 43 (Round your answers of "? " and "? 2" to 4 decimal places.) (b) µ = 518, ? = .5, n = 121 (Round your answers of "? " and "? 2" to 4 decimal places.) (c) µ = 2, ? = 1.0, n = 9 (Round your answers of "? " and "? 2" to 4 decimal places.) (d) µ = 96, ? = 4, n = 1,046 (Round your answers of "? " and "? 2" to 4 decimal places.)

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1. (a) ?x = 16 ?2x=?2n=2243=443=.0930?x2=?2n=2243=443=.0930 ?x=?n?=243?=26.56=.3050?x=?n=243=26.56=.3050 (b) ?x = 518 ?2x=?2n=(.5)2121=.25121=.0021?x2=?2n=(.5)2121=.25121=.0021