d) Could you answer part (b) if the sample size As reported by the U.S. Social Security Administra- tion, the average monthly benefit to retired workers is u= $419. Assume a standard deviation of o =...

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Extracted text: d) Could you answer part (b) if the sample size As reported by the U.S. Social Security Administra- tion, the average monthly benefit to retired workers is u= $419. Assume a standard deviation of o = $73. Suppose n=125 retired workers are to be selected at random. Let x denote the mean monthly benefit received by the retired workers obtained. a) Determine the standardized version, z, of the random variable x. b) What is the probability distribution of the stan- dardized version, z, of x? c) Find the probability that the standardized ver- sion of will take a value either greater than 2.33 or less than –2.33. were n=5 instead of n= 125? Explain.