Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standard deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. (b) If the farms want the confidence interval to be no wider than ±1.25 kg/d, what level of confidence would they need to use?
Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standard deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. (b) If the farms want the confidence interval to be no wider than ±1.25 kg/d, what level of confidence would they need to use?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Dairy cows at large commercial farms often receive
injections of bST (Bovine Somatotropin), a hormone used to
spur milk production. Bauman et al. (Journal of Dairy Science,
1989) reported that 12 cows given bST produced an average of
28.0 kg/d of milk. Assume that the standard deviation of milk
production is 2.25 kg/d.
(a) Find a 99% confidence interval for the true mean milk
production.
(b) If the farms want the confidence interval to be no wider than
±1.25 kg/d, what level of confidence would they need to use?
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