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A population has a mean of 400 and a standard deviation of 60. Suppose a sample of size 125 is selected and is used to estimate . Use z-table.

  1. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
  2. 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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