The owner of Brittens Farm want to estimate the means number of eggs produced pe
ID: 3377316 • Letter: T
Question
The owner of Brittens Farm want to estimate the means number of eggs produced per chicken . A sample of 15 chickens shows they produced an average of 24 eggs per month with a standard deviation of 6 eggs per month. Use Students t Distribution Table.A1 What the the vaule of the population mean? What is the best estimate of value? For a 99% confidence interval what is the value of t? Round your answer to 3 decimals places. Develop the 99% confidence interval for the population mean, Round your answers 2 decimal places. Confidence interval ________to ________ The owner of Brittens Farm want to estimate the means number of eggs produced per chicken . A sample of 15 chickens shows they produced an average of 24 eggs per month with a standard deviation of 6 eggs per month. Use Students t Distribution Table.A1 What the the vaule of the population mean? What is the best estimate of value? For a 99% confidence interval what is the value of t? Round your answer to 3 decimals places. Develop the 99% confidence interval for the population mean, Round your answers 2 decimal places. Confidence interval ________to ________Explanation / Answer
a)
Best estimate = sample mean = 24 [answer]
*********************
alpha/2 = (1 - confidence level)/2 = 0.005
As df = n - 1 = 14,
t(alpha/2) = critical t for the confidence interval = 2.976842734 [answer, critical t]
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Note that
Lower Bound = X - t(alpha/2) * s / sqrt(n)
Upper Bound = X + t(alpha/2) * s / sqrt(n)
where
alpha/2 = (1 - confidence level)/2 = 0.005
X = sample mean = 24
t(alpha/2) = critical t for the confidence interval = 2.976842734
s = sample standard deviation = 6
n = sample size = 15
df = n - 1 = 14
Thus,
Lower bound = 19.38829507
Upper bound = 28.61170493
Thus, the confidence interval is
( 19.38829507 , 28.61170493 ) [ANSWER]
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