Some dairy cows receive injections of BET, a hormone intended to spur greater milk production. After the rst injection, a test herd of 101 cows increased their mean daily production from 21 kg to 27 kg of milk. The standard deviation of the increases was 2.3 kg. We want to estimate the mean increase a farmer could expect in his own cows. Complete parts a) through d). E> a) Check the assumptions and conditions for inference. Choose the correct answer below. 0 A. The Paired Data Assumption, the Independence Assumption, the Randomization Condition, and the 10% Condition are all explicitly met. There is no data with which to check the Nearly Normal Condition, but the sample size is large enough to proceed. O B. The Paired Data Assumption and the 10% Condition are both met. It is reasonable to assume that the differences are independent and representative of all cows, so the Independence Assumption and the Randomization Condition are both met. There is no data with which to check the Nearly Normal Condition, but the sample size is large enough to proceed. O C. The Paired Data Assumption and the 10% Condition are both met. There is no data with which to check the Nearly Normal Condition, but the sample size is large enough to proceed. Neither the Independence Assumption nor the Randomization Condition are met, and it is not reasonable to assume that the differences are independent or representative of all cows. b) Write a 95% condence interval. (I I, (Round to two decimal places as needed.) c) Explain what your interval means in this context. Choose the correct answer below. O A. Any cow has an increase in daily milk production (in kg) after a BST injection that will fall within this interval 95% of the time. O B. We are 95% confident that the mean increase in daily milk production (in kg) for all cows after a BST injection is between the confidence interval values. O C. For all samples, 95% of them will have a mean increase in daily milk production (in kg) after a BST injection that falls within the interval. O D. The confidence interval contains the mean increase in daily milk production (in kg) for all cows after a BST injection, on average, 95% of the time. d) Given the cost of BST, a farmer believes he cannot afford to use it unless he is sure of attaining at least a 24% increase in milk production. Based on your confidence interval, what advice would you give him? O A. He can justify the expense because the lower limit of the confidence interval is less than the amount he requires. O B. He can justify the expense because the lower limit of the confidence interval is more than the amount he requires. O C. He can justify the expense because the middle value of the confidence interval is more than the amount he requires. O D. He cannot justify the expense because the lower limit of the confidence interval is less than the amount he requires. O E. He cannot justify the expense because the lower limit of the confidence interval is more than the amount he requires