Consider the population of American households that purchase Christmas presents, and consider the varible "amount expected to be spent on Christmas presents." Suppose that this population has mean $850 and standard deviation 250. If a random sample of 5 households is selected, is it valid to use the Central Limit Theorem to describe the sampling distribution of the sample mean? Explain. Show Your Work Yes, it is valid to use the CLT No, it is not valid to use the CLT Consider the population of American households that purchase Christmas presents, and consider the 7/10 varible amount expected to be spent on Christmas presents." Suppose that this population has mean $850 and standard deviation 250. If a random sample of 500 households is selected, would the Central Limit Theorem tell you the sampling distribution of the sample mean? Draw a sketch of the sampling distribution Show Your Work Consider the population of American households that purchase Christmas presents, and consider the varible "amount expected to be spent on Christmas presents." Suppose that this population has mean $850 and standard deviation 250. With a random sample of 500 households, determine the probability that the sample mean would fall between $831 and $868