Question: need help answering these two Problem 4 True or False: Suppose we have two random samples from a population (with an unknown pop- ulation mean
need help answering these two

Problem 4 True or False: Suppose we have two random samples from a population (with an unknown pop- ulation mean u and unknown population standard deviation), of sizes n = 10 and n = 15. Let's call them \"Sample 1\" and \"Sample 2,\" respectively. True or false: The 95% condence interval for it based on Sample 1 must be wider than the 95% condence interval for ,u based on Sample 2. Briey explain why. (2pt) Problem 5 True or False: Suppose that X is a random variable with a binomial distribution. The expected value of X is 30 and the variance of X is 15. True or False: the distribution of X skewed to the left. Briey explain why. (2pt)
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