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In: Statistics and Probability

A population has a mean of 300 and a standard deviation of 80. Suppose a sample...

A population has a mean of 300 and a standard deviation of 80. Suppose a sample of size 125 is selected and X is used to estimate M. 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 +/- 15 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

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