- 13 4 The Strength Of A Produced Metal Item Was Thought To Be Related To The Temperature And Humidity Used In The Product 1 (362.56 KiB) Viewed 67 times
13-4 The strength of a produced metal item was thought to be related to the temperature and humidity used in the production process. An experiment was completed to determine the optimal levels of temperature (500, 600, 700, and 800 degrees Centigrade) and humidity (40% and 60%) which were used in a factorial experiment with a CRD. Three replications were used for each treatment. The data obtained on the response variable, strength, is listed in the table. Temperature 500 600 700 800 40% 64 57 68 71 67 73 57 58 65 68 63 Humidity 65 74 66 73 69 65 60% 67 60 70 67 62 59 59 (a) Find the ANOVA table for these data using regression with orthogonal polynomial coding for the independent variables humidity and temperature. (b) Perform and interpret the outcomes of appropriate f-tests using a 0.05 level. (c) Perfcrm appropriate Tukey multiple comparison(s) using a 0.05 level to determine the optimal levels of temperature and humidity. (d) Determine the nature of the response with respect to temperature. Test for linear, quadratic, and cubic effects using a 0.05 level. 13–5 Refer to the data table in Exercise 13-4. Suppose the lowest level of temperature in the experiment had been 400 rather than 500 with the responses as given in the table. With this change in level, calculate the ANOVA table and test for linear, quadratic, and cubic effects at the 0.05 risk level.