5. The circumference of a particular species of tree was thought to be different depending on certain geographical factors. An SRS of 60 trees is selected in Sequoyah National Forest, where it is found that 11 = 6 meters with a standard deviation 81 = 3 meters. A second SRS of size 40 is independently selected in Yellowstone National Forest, and it is found that in = 4 meters with a standard deviation 82 = 2 meters. Let tu and 42 represent, respectively, the true mean circumference of this particular species of tree. (a) Construct a 95% confidence interval for - My and interpret it in context. (b) From the confidence interval you calculated in (a), can we conclude that the two population means are equal or not, and why? (c) Test the following hypotheses at 5% significance level follow the 5-step. H:H=#2 V8 H.: M2. How does your conclusion compare to the one you obtain from part (b)