Consider the following Two-(Independent) Sample setting: Afarmer who own 200 cows wants to compare two different feeds 1 and2. The farmer first did simple random selection of 11 cows from hisherd. Then, farmer randomly assigned 6 of the 11 cows to get Trt A,leaving the other 5 to get Trt B. For the 6 Trt A cows, the averageweight gain was +2.1, while the Std dev of their(6) weight gainswas 0.8. For the 5 Trt B cows, the average weight gain was +1.7 ,while the Std dev of the (5) weight gains was 0.4.  Utilizing Chpt 21's Option 2 (having dof for 2-sample t = min ofn1 - 1 , n2 - 1), conduct a 95% C.I for themean Trt A - Trt B weight gain difference over the herd (i.e.population of 200 cows). Also, perform a 2-sided test of hypothesisto see if one can declare a significant difference in the twofeeds, at the critical p-value level (alpha) of 0.05.