econometrics qs need help with part b

110 Points] Consider the simple population regression model Yi is the same for the members of the treatment group, and hence X is a binary variable. (a) [5 Points] Explain why the coefficient on X represents the difference between two means. (b) 15 Pointsl How is the test for the statistical significance of the coefficient on X related to the test Po+Bixi+ ui, where the treatment 1. for differences in means between two populations, when their variances are different? Write down the null and alternative hypothesis in each case. 110 Points] Consider the simple population regression model Yi is the same for the members of the treatment group, and hence X is a binary variable. (a) [5 Points] Explain why the coefficient on X represents the difference between two means. (b) 15 Pointsl How is the test for the statistical significance of the coefficient on X related to the test Po+Bixi+ ui, where the treatment 1. for differences in means between two populations, when their variances are different? Write down the null and alternative hypothesis in each case