The owner of Britten\'s Egg Farm wants to estimate the mean number of eggs produ

Question

The owner of Britten's Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 17 chickens shows they produced an average of 19 eggs per month with a standard deviation of 7 eggs per month (Use L Distribution Table.) a-1. What is the value of the population mean? 19 7 It is unknown a-2. What is the best estimate of this value? Best estimate c. For a 98% confidence interval what is the value of t? Value of t d. Develop the 98% confidence interval for the population mean Confidence interval e-1. Would it be reasonable to conclude that the population mean is 19 eggs? No Yes e-2. What about 24 ? Yes No

Explanation / Answer

a-1) it is unknown

a-2) best estimate =19

c)for (n-1=16) degree of freedom and 98% CI; t=2.583

d) std error of mean =std deviation/(n)1/2 =1.6977

therefore 98% CI; confidence interval =sample mean -/+ t*std error =14.61 ; 23.39

e-1) yes

e-2) NO

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