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ORMAL CURVES AND SAMPLING DİSTRIBUTIONS Basic Computation: Central Limit Theorem Suppose x has a distributi on with a mean of 20 and a standard deviation of 3. Random samples of size n are drawn. (a) Describe the a distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 19. (c) Find Pr < 19) (d) Interpretation Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 19? Explain.

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Solution (6) Fm ico do, ion-3 σ Sample sieze :n:36 36 X ~N (20, o.5 e 2 hlue Corespon 19-200.5 is-i a Sample ean ean x disti buon -b have a Somple nean les thon, beco P very loo, e,13

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