Null Hypothesis: No significant difference in gas mileage (shown in miles per gallon) in the 4 gasolines: Exxon Sunoco Hess Shell 30 29 29 32 25 26 34 26 27 29 32 31 26 28 33 27 Give your calculations for SSA Give your calculations for SSW Give your ANOVA table Give the calculated F Give the critical F Is the difference significant in the gasolines? (yes or no) Use the Tukey multiple comparisons test to tell which pairs of means show a significant difference: Give the critical range, giving the value for Q, etc. Show the difference between each pair of means. Which pair show a significant difference? Answer the question in terms of the gasolines? Which gasoline would you use for best mileage? 4. The data below represent customer satisfaction on a scale of 1 to 10 for different roasts of coffee (Columbian espresso, French mocha, Brazilian, Italian espresso) made in different types of coffee makers (electric, drip, French press). Coffee maker Co. Esp. Fr. Mocha Brazilian It. Esp Electric 7.6 6.4 5.5 8.5 6.8 7.4 6.5 5.7 7.1 7.6 6.8 9.2 Drip 8.8 9.9 7.8 8.8 9.6 9.3 7.9 8.3 8.9 8.5 8.2 8.3 French Press 9.8 8.9 9.7 8.3 9.7 9.1 9.5 8.7 9.9 8.8 8.6 8.9 a) Using 2 way ANOVA give the calculated F for customer satisfaction for: (please answer in order in receive credit). Also be clear which part you are answering in a), b), c) to receive credit. i) The different roasts ii) The different coffee makers iii) The Interaction effect b) Does it appear that liking the specific roast is affected by the type of coffee maker (interaction effect). Please answer yes or no. Why? Give a reason for your answer. c) Is the difference significant among the roasts of coffee? Please answer yes or no. Why? Give a reason for your answer. d) Is the difference significant among the types of coffee makers? Please answer yes or no. Why? Give a reason for your answer. e) Use the Tukey multiple comparisons test to show which pairs of roasts or coffee makers show a significant difference. State whether you are using Factor A or Factor B and why. Give the calculations for the Critical Range (give the value of Q, MSE, c, r, n’) and show each pair of means that you are comparing. Make a statement about which pairs (in words) show a significant difference.) f) Sketch the cell means plot. g) Make one statement concerning what your graph shows (something like customers prefer electric coffee makers, etc.)
Recent Comments