4. The State of Alabama's Dept of Health has been accused of age discrimination in merit pay raises for the Elv scal year, Below is a random sample of employee ages and merit awards for EMS-19 {note: this is a mythical problem]. Page Merit Aunt-(ls FYI 8-19 in Hundreds of Dollars 29 3t) 45 25 55 ll 39 25 51 41 t] mammmammmmm a} State your null formally and in lay terms for a sinple regression [10} b] Calquate r and the regression line (y = a + hit] and reject-\"accept at a=.l}5. You nuist state the estimated regression line even if Ho is accepted and sw math for t. {Ill} e] Explain your fu'idings in lay terms using rvsquare, r., h as appropriate [30} d} Calculate a 95% condence interval for the slope IF NECESSARY and if not explain WHY NOT. Provide the formal interval and explain in layterms. Show all necessary math {1\"}