A random sample of 81 credit sales in a department store showed an average sale of $75.00. From past data, it is known that the standard deviation of the population is $27.00. Determine the standard error of the mean. With a 0.95 probability, what is the margin of error? What is the 95% confidence interval of the population mean?

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Q1. A random sample of 81 credit sales in a department store showed an average sale of $75.00. From past data, it is known that the standard deviation of the population is $27.00.

  1. Determine the standard error of the mean.
  2. With a 0.95 probability, what is the margin of error?
  3. What is the 95% confidence interval of the population mean?
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