Consider the following Two-(Independent) Sample setting: A farmer who own 200 cows wants to compare two...

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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.Â Â 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.

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a TRADITIONAL METHOD given that meanx21 standard deviation sd108 numbern16 ymean17 standard deviation sd2 04 numbern25 I standard error sqrtsd12n1sd22n2 where sd1 sd2 standard deviation of both n1 n2 sample size standard error sqrt06460165 0372 II margin of error t a2 standard error where t a2 t table value level of significance 005 from standard normal table two tailed and value of t with min n11 n21 See Answer

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