A certain species of dolphin breathes a mean of 233 times pe

A certain species of dolphin breathes a mean of 2.33 times per minute with a population variance of 0.55.

Apply the central limit theorem: If you repeatedly sample groups of 19 dolphins from the population, what will be the variance of the sample means you obtain? That is, what is the variance for the sampling distribution of the mean?

Solution

variance of sample = variance/sample size = 0.55/19 = 2.89