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You may need to use the appropriate appendix table or technology to answer this question. A...

You may need to use the appropriate appendix table or technology to answer this question. A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate μ. (Round your answers to four decimal places.)

(a) What is the probability that the sample mean will be within ±5 of the population mean?

(b) What is the probability that the sample mean will be within ±10 of the population mean?

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