After the government pay scale revision in Bangladesh, it is believed that the salaries of public employees are exactly equal to the salaries of private employees. Suppose that in a follow-up study of 40 public employees and 50 private employees are chosen to have the following results. Public Employee's information Private Employee's information n1 = 40 n2 = 50 x1 = 56, 100 taka x2 = 59,400 taka s1 = 6000 taka s2 = 7000 taka

a) Provide 90% confidence interval for the difference between two population mean? b) Develop Null and Alternative hypothesis for the two population mean? c) Conduct a hypothesis test at a 10% level of significance using p value and critical value approach? What is your conclusion regarding accepting or rejecting Null hypothesis?