A beef cattle nutritionist wants to compare the birth weights ofcalves from cows that receive two different diets during gestation.He therefore selects 16 pairs of cows, where the cows within eachpair have similar characteristics. One cow within each pair israndomly assigned to diet 1, while the other cow in the pair isassigned to diet 2. He obtains the following results:
Mean difference in birth weights of thepairs of calves = 10 lb
Standard deviation of the difference inbirth weights of the pairs = 8.0 lb
Construct a 95% confidence interval for the true mean differencein birth weights of the calves from cows receiving diet 1 vs. diet2.
Group of answer choices
(5.738 lb, 14.262 lb)
(6.08 lb, 13.92 lb)
(6.606 lb, 13.394 lb)
(4.97635 lb, 17.02365 lb)