According to the U.S. Department of Agriculture's World Livestock Situation, the country with the greatest per capita consumption of pork is Denmark.
In 2013, the amount of pork consumed by a person residing in Denmark had a mean value of 147 pounds with a standard deviation of 62 pounds. If a random sample of 25 Danes is chosen, approximate the probability that the average amount of pork consumed by the members of this group in 2013 exceeded 150 pounds.