The manager of Roth Corporation, wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each of the 3 proposed work schedules. The fallowing table shows the units of production (per week) under each of the work schedules.     

Work Schedule (Treatments) Schedule 1 Schedule 2 Schedule 3 50 60 70 40 45 60 65 65 58 57 75 75 55 40 55 We would like to develop hypothesis statements to test whether or not is a different between population means. To find p-value using excel we should know the numerator and denominator degrees of freedom. The numerator degree of freedom for this data is