Question 185672
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.