Estimating the confidence interval for the length of an angelfish
Question
Suppose you're working on a study to understand the length of an average angelfish in the Amazon River. The study draws a random sample of 1,000 angelfish from an estimated population size of 2,500,000. Each fish in the sample of 1,000 is measured and recorded. We find that the average length in our sample is 2.5 inches and the standard deviation is 0.25 inches.
Given this information, calculate the 95% confidence interval for this sample and explain what the interval means.