Let N Be the Total Number of Observations in a Data

Essay

Let N be the total number of observations in a data set, and suppose we rank all N observations from 1 (the smallest $\left. X _ { y } \right)$ to N (the largest $\left. X _ { y} \right)$ . When $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots = \mu _ { j }$ is true, and $R _ { y }$ denotes the rank of $X _ { y }$ among the N observations, then $E \left( R _ { y } \right) =$$\underline{\quad\quad}$