The owner of Brittens Farm want to estimate the means number

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 ________

Best estimate = sample mean = 24 [answer]

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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]

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 pe

The owner of Brittens Farm want to estimate the means number

Solution

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