Question

The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 14 chickens shows they laid an average of 17 eggs per month with a standard deviation of 4 eggs per month.  

a-1. What is the value of the population mean?

(Click to select)It is unknown.417.00

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

b-1. Explain why we need to use the t distribution.

(Click to select)Use the t distribution as the population standard deviation is known.Use the t distribution as the population mean is known.Use the t distribution as the population standard deviation is unknown.

b-2. What assumption do you need to make?

(Click to select)We must assume that the population is not normally distributed.We must assume that the population is binomially distributed.We must assume that the population is normally distributed.

c. For a 90% confidence interval, what is the value of t? (Round the final answer to 3 decimal places.)

The value of t is .

  

d. Develop the 90% confidence interval for the population mean. (Round the final answers to 2 decimal places.)

The 90% confidence interval for the population mean is to .

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

(Click to select)YesNo

What about 23 eggs?

Answer 1