Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. The resulting interval is (22.96, 26.64). Which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay within one month? 90% of all chickens at this farm lay between 22.96 and 26.64 eggs.
In repeated sampling, 90% of the time the true mean number of eggs chickens at this farm lay is 24.8.
Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
In repeated sampling, 90% of the time the true mean number of eggs laid by chickens from this farm will be captured within the interval (22.96, 26.64).