Suppose you have estimates of the sample means of ???? and ????, ????= 1.2 and ???? = 1.3. The standard deviation of ????is ????????= 0.1, the standard deviation of ???? is ???????? = 0.2, and the correlation coefficient between the two estimates is ????????,???? = .5. Assume you have enough observations that you can use the normal table.a.

Test the hypothesis that the population means of ???? and ???? are equal at the 5 percent level.

Give a 90 percent confidence interval for the difference between the population means.

Please show work.