Define the terms \"sample,\" \"population,\" and \"sampling distribution\" in your own words, and post your definitions to the discussion board. After you post your definitions to the discussion board, create and write your own scenario about a specific population. Then, answer the following questions about your scenario: What are the mean, standard deviation, and shape of the population distribution? What are the mean, standard deviation and shape of the sample? What are the mean, standard error and shape of the sampling distribution of the sample mean? Is it possible for the shapes of these three distributions to be different? Describe a brief scenario where this may happen. It need to be 250 words