SOLUTION: Can someone please help me solve this? Thank you so much. The owner of Britton�s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens sho

Question 185672: Can someone please help me solve this? Thank you so much.
The owner of Britton�s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.25 eggs per month.
a. What is the best estimate of the population mean?
b. For a 99 percent confidence interval, what is the value of t?
c. Develop the 99 percent confidence interval for the population mean.
Please identify the lower and upper confidence boundaries.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The owner of Britton�s Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 25 chickens shows they laid an average of 19 eggs per month with a standard deviation of 2.25 eggs per month.
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a. What is the best estimate of the population mean?
The best estimate is the sample mean: 19 eggs per month
It is called "a point estimate".
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b. For a 99 percent confidence interval, what is the value of t?
For df=24 and alpha = 99% the t-value is 2.797
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c. Develop the 99 percent confidence interval for the population mean.
E = 2.797[2.25/sqrt(25)] = 1.2587
99% CI: 19-1.2587 < u < 19+1.2587
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Please identify the lower and upper confidence boundaries.
lower: 19-1.2587 = 17.7414
upper: 19+1.2587 = 2.5174
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Cheers,
Stan H.

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