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# Confidence intervals for the population mean

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The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 18 chickens shows they laid an average of 25 eggs per month with a standard deviation of 7 eggs per month.

(a-1) What is the value of the population mean?

It is unknown.
25
7

(a-2) What is the best estimate of this value?

Best estimate

(c) For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)

Value of t

(d) Determine the 95% confidence interval for the population mean. is (Round your answers to 2 decimal places.)

Confidence interval to

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

No
Yes

(e-2) What about 22 eggs?

No
Yes

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#### Solution Preview

(a-1) What is the value of the population mean?

Answer: it is unknow as the value is not given in the question.

(a-2) What is the best estimate of this value?

Answer: Best estimate is the sample mean which is 25.

(c) ...

#### Solution Summary

The expert examines confidence intervals for a population mean.

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