3. [6] In a recent study, scientists at UPenn selected a random sample of 63 subjects from a population of obese adults. From this sample, 33 were assigned to the Atkins diet, and 30 to a conventional diet. Using a = 0.05, does the study show that the Atkins diet is more effective in that it produces more than 5 pounds of weight loss over the conventional diet? Number Mean (weight Std. Dev. loss in pounds) Atkins 33 15.42 14.37 Conventional 30 7.00 12.36 Show rejection regions with labelled critical value(s) Ho : H1: Critical Value(s): Test Statistic: Must state what test stat is being used (z, t, etc.) the formula being used, and what values are substituted into the formula for full credit. Simply writing a number will not earn credit] P-Value: State the conclusion of the test in the context of the problem (for example, not just "reject null", but what does it mean for this specific problem)