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Suppose x has a distribution with a mean of 50 and a standard deviation of 21, Random samples of size 36 are drawn. USE

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Suppose x has a distribution with a mean of 50 and a standard deviation of 21, Random samples of size 36 are drawn. USE SALT (a) Describe the distribution and compute the mean and standard deviation of the distribution. x has an unknown distribution with mean - (b) Find the z value corresponding to -43 and standard deviation - (c) Find P43). (Round your answer to four decimal places.) (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 43? Explain O Yes, it would be unusual because less than 5% of all such samples have means less than 43. O No, it would not be unusual because more than 5% of all such samples have means less than 43. Yes, it would be unusual because more than 5% of all such samples have means less than 43. O No, it would not be unusual because less than 5% of all such samples have means less than 43.

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