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Money for nothing

Problem

You have been hired by a large company to investigate the hours worked per week by their employees. The company is concerned that it has too many employees who do not work a 40-hour week. The information is available from the company’s database. The data on hours worked includes both full-time employees, and school and university students who work part time.


You need to take a sample of 35 employees from this database to calculate an estimate of their hours worked per week.

a) Choose a suitable sampling method and use it to design a sampling process. Describe this process so that someone else could follow it, and justify why you chose this method.


b) Use your sampling method to select a sample 35 employees.  Explain whether your sample is representative of the whole population or not.


c) Calculate appropriate sample statistics and draw appropriate statistical graphs.


d) Use these statistics and graphs to write a justified conclusion about the hours worked per week for the company’s employees. What have you found out about employees hours of work? Is the company’s concern valid?