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A simple random sample of 50 accounts is taken from an account receivables portfolio of XYZ...

A simple random sample of 50 accounts is taken from an account receivables portfolio of XYZ Ltd and the average account balance is $650. The population standard deviation σ is known to be $70.
a. Test the hypothesis that the population mean account balance is greater than $620 using the p-value approach and a 0.05 level of significance.
b. Test the hypothesis that the population mean account balance is less than $800 using the critical value approach and a 0.05 level of significance.
c. Test the hypothesis that the population mean account balance is different from $750. using the p-value approach and a 0.05 level of significance.

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