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Dairy cows at large commercial farms often receive
Chapter 8, Problem 23E(choose chapter or problem)
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 \(\pm 1.25 \mathrm{~kg} / \mathrm{d}\), what level of confidence would they need to use?
Equation Transcription:
Text Transcription:
+/-1.25 kg/d
Questions & Answers
QUESTION:
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 \(\pm 1.25 \mathrm{~kg} / \mathrm{d}\), what level of confidence would they need to use?
Equation Transcription:
Text Transcription:
+/-1.25 kg/d
ANSWER:
Step 1 of 4
Given,
Sample size, n = 12
The Mean,
The standard deviation,
For a sample mean, 
