We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in biology is different from $509.$ so we choose random sample of exam scores. The sample has a mean of $490$ and a standard deviation of $79.$ A sample has size $85$ and it is from a non normally distributed population with a known standard deviation of $76.$ The sample has size $2,$ and it is from a population with a distribution about which we know very little