Given two sets of data {x1,..., xn} and {y1,..., ym} that follow normal distributions; (1) Assuming that the variances are the same, show a method of checking whether or not the means are identical by...

Given two sets of data {x1,..., xn} and {y1,..., ym} that follow normal distributions;

(1) Assuming that the variances are the same, show a method of

checking whether or not the means are identical by using the AIC.

(2) Assuming that the means are the same, show a method of checking whether or not the variances are identical by using the AIC.