Question

To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. Temperature 50°C 60°C 70°C 35 32 27 25 33 32 37 36 32 40 25 34 33 29 35 a. Construct an analysis of variance table (to 2 decimals, if necessary). Round p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 30 Error Total b. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process. The p-value is greater than .10 What is your conclusion? Conclude that the mean yields for the three temperatures are all equal

Answer 1

solution : given data 50 c Temperature. 70°c 27 60° c 35 32 25 33 32 36 32 37 40 25 34 33 29 35 Analysis of variance table : P-value a] source of variation sum of Squares Degrees of freedom mean Square 2 6.5932 0.568 Treatments 123.3333 foror 236.0019 Total 1259.3352 lll. 6667 19. 6668 112 114 6 Ans: The is P-value greater 0.10 than conclusion: - conclude that the mean yields for the three tem.peratures all equal. are (a] Ans: - (2 decimal S.S. 나 Siv Tret DF 2 places) ms, 11.67 19.68 p-value 0.5685 0.59 error 23.33 236.00 259.33 12 Total 14