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A population has a mean of 400 and a standard deviation of 90. Suppose a sample...

A population has a mean of 400 and a standard deviation of 90. Suppose a sample of 100 size is selected and x bar is used to estimate mu. Use z-table.

a. What is the probability that the sample mean will be within +- 4 of the population mean (to 4 decimals)?

b. What is the probability that the sample mean will be within +- 16 of the population mean (to 4 decimals)?

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