D Question 8 7 pts Imagine that we want to learn whether country wealth differs by regime type, so we take a its sample that provides data shown in the table below: Table 1. Mean Income Per Capita (in US$) by Regime Type Group N Mean SD Non-democracies 56 4521 4992 Democracies 46 24586 23928 1) What is the difference in average income per capita between democracies and non- democracies () dem. ) non-dem. ) ? 2) What is the standard error of the difference of means, se() dem. - Y non-dem. )? 3) What is the value of the t-statistic for the difference of means in this sample? (round to 1 decimal place) 4) How many degrees of freedom does this test have?(round to 1 decimal place) 4) How many degrees of freedom does this test have? 5) If our hypothesis is that democracies will have a different income level than non- democracies, what critical value should we use for a test with a significance level of .05? (Note: use the table of critical values in Appendix B, p. 296, of the textbook, 2nd. ed. ) (round to 2 decimal places) 6) Based on this information, can we reject the null hypothesis of no difference in income levels between democracies and non-democracies? (answer Yes/No) 7) If instead our hypothesis is that democracies will have a higher level of income than non- democracies, what critical value would we use for a test with a significance level of .05? (round to 2 decimal places)