According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of 23 hours per week at home with a standard deviation of 10 hours. a. Identify the population and variable. b. For samples of size 100, find the mean and standard deviation of all possible sample mean hours worked per week at home. c. Repeat part (b) for samples of size 1000. d. What effect has increasing the sample size on the mean and standard deviation of all possible sample mean hours worked per week at home?