To study the effect of temperature on yield in a chemical process, five batches

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 50°C 30 20 32 35 28 Temperature 60°C 34 35 38 27 31 70°C 23 28 28 30 31 a. Construct an analysis of variance table (to 2 decimals, if necessary) Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 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. Calculate the value of the test statistic (to 2 decimals) The p-value is Select What is your conclusion? Select

Explanation / Answer

From the statistical software output, the ANOVA table is:

ANOVA table

b) Test statistic = 1.78

p - value is greater than 0.10 (p = 0.2104)

c) Conclusion: Since p - value is greater than 0.05, do not reject Ho.

Source SS DF MS F-Stat Treatments 70 2 35 1.78 Error 236 12 19.67 Total 306 14

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