Fred collects data from two populations Maria uses those data to construct a (two sided) 90 confidence interval for 1, 2, and gets ( 3 4,23 7) At the same time Sam uses the data to test H0 1 2 versus HA 1 2 (which he chose to test before seeing the data) with 0 05 Does Sam reject H0 Or can we not tell from the information given Explain your reasoning

Question: Fred collects data from two populations. Maria uses those data to construct a (two-sided) 90% confidence interval for 1, - 2, and gets (-3.4,23.7). At

Fred collects data from two populations. Maria uses those data to construct a (two-sided) 90% confidence interval for μ1, - μ2, and gets (-3.4,23.7). At the same time Sam uses the data to test H0: μ1 = μ2 versus HA: μ1 > μ2 (which he chose to test before seeing the data) with α = 0.05. Does Sam reject H0? Or can we not tell from the information given? Explain your reasoning.

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