In: Statistics and Probability
The Human Resource department of a multi-national bank is preparing a survey about workplace equality. The survey will target employees of three departments: retail banking, commercial banking, and global banking. There are 1800, 2300, and 900 employees in these departments respectively. A total of 200 employees will be selected randomly for the survey.
The following table shows the number of weekly working hours of 14 employees in a sample dataset: 38 41 41 43 46 48 49 51 54 54 57 64 64 64
(d) Find the 30th percentile and third quartile of the data.
(e) Write a simple report about the weekly working hours of the employees by referring to your findings in part (c) and part (d).
(f) The standard working hour per week is 40 hours. Every extra working hour would have an hourly allowance of $35. Use X to denote the weekly working hour of an employee and Y to denote the weekly allowance of that employee. Express Y in terms of X. Hence, find the sample mean and sample standard deviation of the weekly allowance of an employee.