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To compare the effects of different diets on blood pressure, suppose three groups of patients are randomly assigned: One group follows a low-sodium diet; the
To compare the effects of different diets on blood pressure, suppose three groups of patients are randomly assigned: One group follows a low-sodium diet; the second group follows a Mediterranean diet; and the third group follows a standard American diet. The means and standard deviations of the resulting blood pressure measurements from this hypothetical study are summarized below: Since we are comparing more than 2 groups, we will use ANOVA to test whether the data provide evidence that blood pressure is related to diet type. One of the conditions that allows us to use ANOVA safely is that of equal (population) standard deviations. Can we assume that this condition is met in this case? Diet Type n Mean SD Low-sodium 20 120.50 12.34 Mediterranean 20 115.25 10.56 Standard American 20 130.75 14.67 A. No, since the three sample standard deviations are not all equal. B. No, since the population standard deviations are not given, so we cannot check this condition. C. Yes, since 14.67 / 10.56 < 2. D. Yes, since 12.34 / 10.56 < 2
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