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Following questions regard ANOVA analysis Simultaneous Tests for General Linear Hypotheses Multiple Comparisons of Means: Tukey Contrasts Fit: aov (formula = gluten . percentage ~

Following questions regard ANOVA analysis

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Simultaneous Tests for General Linear Hypotheses Multiple Comparisons of Means: Tukey Contrasts Fit: aov (formula = gluten . percentage ~ company, data = flour) Linear Hypotheses: Estimate Std. Error t value Pr(>|t/) Finest Flour - Cromulent Cakes == 0 0. 89533 0. 14214 6. 299 F) group 3 1. 1774 0. 3215 1161. Define relevant mean parameters and state the appropriate null and alternative hypotheses to be tested here. (3 marks) 2. What is the distribution of the test statistic? What is its observed value? (2 marks) 3. What is the relevant p-value for this analysis? (1 mark) 4. Perform the hypothesis test at a 5% level of significance and state your conclusion to this ANOVA analysis. (2 marks) 5. Tukey's pairwise comparisons of means can sometimes be used to expand upon the ANOVA con- clusion you gave in Q4. Explain why it is or isn't appropriate to use it in this particular analysis, and if it is appropriate, use them to describe which company or companies have the best gluten percentage in their cake flour (quote all necessary p-values). (7 marks)Cake our tends to have a slightly lower percentage of gluten than many other wheat based ours and this is critical to its use in the making of cakes, with some experts recommending less than an average of 7.4% of gluten for best results. A certain website author is interested in comparing suppliers who will provide the lowest amount of gluten in its cake our. He nds 4 different providers of cake our that he wishes to compare (\"Finest Flour\

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