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7) (10 points) Suppose you collect two random samples. Sample X has a mean of 6, a true standard deviation of 4, and 30 observations. Sample Y has a mean of 7, a true standard deviation of 1 and 70 observations. Perform a hypothesis test to if the mean of X is statistically different than the mean of Y. Use the critical value method with alpha = 0.05. For full credit you need to formally state the null and alternative hypothesis and your conclusion. You also need sketch a figure of the appropriate figure with your test statistic and critical values clearly labeled. If you need Satterthwaite's DOF, use 31