A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 100 is selected and x with bar on top is used to estimate mu. What is the probability that the sample mean will be within +/- 3 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 14 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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