PROBLEM B A large company has 1500 employees of whom 1000 ar

PROBLEM B: A large company has 1500 employees of whom 1000 are male and 500 are female. Complete records of hours lost due to illness for all employees are available for the year 2007 but not yet for 2008. For 2007, a total of 24,000 hours were lost due to illness by male employees and 8,000 were lost by female employees. In order to estimate the total number of hours lost due to illness by all employees during 2008, simple random samples of male and female employees were obtained and the numbers of hours lost due to illness during each of the two years were recorded for each employee. The following table presents the data collected and some summary quantities. 1. Identify the sampling scheme used in this problem. 2. Estimate the total number of hours lost to illness during for all employees during 2008, and estimate the standard error of the estimated total. 3. Estimate the percentage increase in total number of hours lost to illness by this company between 2007 and 2008, and estimate the standard error of the estimated percentage.

Solution

1. The sampling used in this problem is Simple Random Sample Without Replacement.

2.