# (Question and Answer): Population number of hours worked per week by the full time employees of a company is distributed normally with the unknown population me

Population number of hours worked per week by the full time employees of a company is distributed normally with the unknown population mean, mu hours and the standard deviation of sigma = 4 hours. a. If 69.5% of the full time employees worked more than 37.96 hours per week, calculate the population mean. b. If 30.85% of full time employees worked more than 45 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? c. 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?

Mean (a) = Mean (c) is NOT equal to Mean(b)

Two possible conclusions :

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1. Either the data is not normally distributed.

Or

2. The data in case a,& c, belongs to same sample, while sample b is different.

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