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 OST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76). (b) If the farms want the confidence interval to be no wider than #1.05 kg/d, what level of confidence would they need to use? Express your answer in percent. Round your answer to the nearest integer (e.g. 98). confidence =

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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
OST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d.
(a) Find a 99% confidence interval for the true mean milk production.
Round your answers to two decimal places (e.g. 98.76).
(b) If the farms want the confidence interval to be no wider than #1.05 kg/d, what level of confidence would they need to use?
Express your answer in percent.
Round your answer to the nearest integer (e.g. 98).
confidence =
Transcribed Image Text: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 OST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76). (b) If the farms want the confidence interval to be no wider than #1.05 kg/d, what level of confidence would they need to use? Express your answer in percent. Round your answer to the nearest integer (e.g. 98). confidence =
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