Problem
According to the CDC, the average number of sick days workers are absent is 15 per year, with a standard deviation of 5 days. Assume a population size = 5000. From a random sample of 25 workers, what is the probability that a worker will be sick between 14 and 16 days? Make sure to calculate the appropriate standard error. Round z to two decimal places and report the four decimal places for the probability, including the zero before the decimal place. E.g., 0.123.