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1. For which of the following would it be most appropriate to use an ANOVA to analyze the data? A researcher is interested in determining

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1. For which of the following would it be most appropriate to use an ANOVA to analyze the data?

A researcher is interested in determining the most effective format for advertising. He randomly assigns 60 people to one of three groups: (1) television commercial, (2) radio commercial, or (3) magazine advertisement. Group members review the commercial and then report whether or not they would buy the product.

In order to determine the effectiveness of different diet plans, 90 people are randomly assigned to one of three groups: (1) low calorie diet, (2) low-fat diet, or (3) low-carb diet. At the end of 60 days, the number of pounds lost was recorded for each of the participants.

Both A and B.

Neither A nor B.

Please use the following information for Questions 2, 3, and 4.

To determine whether there was a relationship between the region of the world that you live in and the amount of beer that you drink, suppose we took 3 samples of 25 people per region from Asia, Europe and America.

2.

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If we let H1, H2, and 3 be the average calcium intake per day in milligrams for people with diagnosed osteopenia, osteoporosis or neither (healthy controls), respectively, the appropriate hypotheses in this case are: O Ho: H1 = H2 = M3 Ha: H1, H2, M3, are not all equal O Ho: H1, H2, M3, are not all equal Ha: H1 = H2 = M3 O Ho: H1 # H2 # H3 Ha: M1 = H2 = H3 None of the above are correct.Here are the three sample standard deviations for the calcium intake for the three groups (osteopenia, osteoporosis or neither (healthy controls: Column Std. Dev. Dsteopenia 217.3 Osteoporosis 287.7 Healthy 147.2 Based on this information, do the data meet the condition of equal population standard deviations for the use ofthe ANOVA? 0 Yes, because 287.7 - 147.2 2. O No. because the standard deviations are not equal. The analysis was run on the data and the following output was obtained: A N OVA table Sou rue d! 55 M 5 F-Stat P-value Treatments 2 1524295 76,2143 1.26 .2897 Error 72 906.5334 50.4356 Total 74 1.0 58,963.11 Based on this information, we: 0 Fail to reject the Hg and conclude that the data do not provide sufcient evidence that there is a relationship between calcium intake and bone health. 0 Fail to reject the HQ and conclude that the data provide strong evidence that the three means (representing calcium intake and bone health] are not all equal. 0 Reject the Hg and conclude that the data provide strong evidence that there is a relationship between between calcium intake and bone health. 0 Reject the HQ and conclude that the data provide strong evidence that calcium intake is related to bone health in the following way: the mean for healthy people is higher than the mean for people with Osteopenia, which in turn is higher than that for people with Osteoporosis

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