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
32 31 30
22 32 35
34 35 35
37 24 37
30 28 38
a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).
Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value
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).