Question: Here are the means, standard deviations, and sample sizes for the enjoyment of select diets by country. The survey participants were asked to rate their

 Here are the means, standard deviations, and sample sizes for the

Here are the means, standard deviations, and sample sizes for the enjoyment of select diets by country. The survey participants were asked to rate their perceived enjoyment and satisfaction with the diet. All responses were measured on a ten-point Likert scale. Country USA France S n S n Diets Ketogenic Vegan S 1.7 1.5 Canada n 250 180 4.3 7.2 1.9 1.8 150 160 3.3 6.5 2.1 1.6 200 201 5.5 6.1 a) Suppose for these data that SS(Country) = 2.178, SS(Diet) = 29.50, SS(Interaction) = 10.30, and SSE = 2250.6. Fill in the remainder of the ANOVA table. (1 mark] Source DF SS MS F P-Value Country 0.577 Diet 0.00012 Country Diet 0.074 Error b) At the 5% significance level, can we reject the null hypotheses that (1.5 marks) 1. There is no difference in group means by country. 2. There is no difference in group means by diet. 3. There is no interaction effect with country and diet

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