3. In Ethiopia, a random sample of eighty people working in the Health and Medical field were surveyed to determine their annual salary. From the survey, it was discovered that the average annual salary for the Ethiopians working in the Health and Medical field was the equivalent of US$4479 with a standard deviation of US$86. (For your own information- nothing to do with this problem, Ethiopians make an average of US$3014 per year.) a) Find the margin of error for the population mean annual salary for Ethiopians working in the Health and Medical field using a 95% confidence level. b) Construct a 95% confidence interval for the population mean annual salary for Ethiopians working in the Health and Medical field. c) Suppose the population standard deviation is US$100 per year. Construct a 99% confidence interval for the population mean annual salary for Ethiopians working in the Health and Medical field.

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3. In Ethiopia, a random sample of eighty people working in the Health and Medical field were
surveyed to determine their annual salary. From the survey, it was discovered that the average
annual salary for the Ethiopians working in the Health and Medical field was the equivalent of
US$4479 with a standard deviation of US$86. (For your own information- nothing to do with this
problem, Ethiopians make an average of US$3014 per year.)
a) Find the margin of error for the population mean annual salary for Ethiopians working in the
Health and Medical field using a 95% confidence level.
b) Construct a 95% confidence interval for the population mean annual salary for Ethiopians working
in the Health and Medical field.
c) Suppose the population standard deviation is US$100 per year. Construct a 99% confidence
interval for the population mean annual salary for Ethiopians working in the Health and Medical field.
Transcribed Image Text:3. In Ethiopia, a random sample of eighty people working in the Health and Medical field were surveyed to determine their annual salary. From the survey, it was discovered that the average annual salary for the Ethiopians working in the Health and Medical field was the equivalent of US$4479 with a standard deviation of US$86. (For your own information- nothing to do with this problem, Ethiopians make an average of US$3014 per year.) a) Find the margin of error for the population mean annual salary for Ethiopians working in the Health and Medical field using a 95% confidence level. b) Construct a 95% confidence interval for the population mean annual salary for Ethiopians working in the Health and Medical field. c) Suppose the population standard deviation is US$100 per year. Construct a 99% confidence interval for the population mean annual salary for Ethiopians working in the Health and Medical field.
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