Question: Population number of hours worked per week by the full time employees of a company is distributed normally with the unknown population mean, µ, hours and the standard deviation of σ = 4 hours.

1. If 69.5% of the full time employees worked more than 37.96 hours per week, calculate the population mean.
2. If 30.85% of full time employees worked more than 4-5 hours per week, calculate the population mean now. Are the two values of the population mean [under parts a and b] similar or the same? What would you conclude?
3. If 15.87% of full time employees worked more than 44 hours per week, calculate the mean now. Are the two values of the population mean (under parts a and c) similar or the same? What would you conclude?

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