2. A researcher Wishes to determine Whether the salaries of professional nurses employed by private hospitals are higher than those of nurses employed by government hospitals. She selects a sample of nurses from each type of hospital and calculates the means and the standard deviations of their salary. Assume that the populations are approximately normally distributed. Private Government X1 = $26,800 X2 = $25,400 sl = $600 s2 = $450 111 : 10 n2 2 8 (a) At a = 0.01, can she conclude that the private hospitals pay more than the government hospitals? Use critical value method. (b) Find the pvalue and conrm your answers in part (a). (c) Find a 99% condence interval for the mean difference between the salaries of private and government nurses