SOLUTION: The owner of Britten�s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 19 chickens shows they produced an average of 18 eggs per month with a s

Question 1058595: The owner of Britten�s Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 19 chickens shows they produced an average of 18 eggs per month with a standard deviation of 4 eggs per month. (Use t Distribution Table.)

a. What is the value of the population mean?

a.) 4
b.) It is unknown.
c.) 18

b. What is the best estimate of this value?

Best estimate:

c.
For a 98% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)

Value of t:

d.
Develop the 98% confidence interval for the population mean. (Round your answers to 2 decimal places.)

Confidence interval from to .

e-1. Would it be reasonable to conclude that the population mean is 19 eggs?

a.) No
b.) Yes

e-2. What about 24 eggs?

a.) No
b.) Yes

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. The answer is b,
The best estimate is the sample mean of 18 eggs/mo.
98% CI interval width is t(df=18,0.99)s/sqrt(n); t=2.552.
That is 2.552*4/sqrt(19)=2.342
(15.66, 20.34)
Yes, it would be reasonable, because 19 is in the interval.
No, because 24 is not in the interval.

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