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     33 31 28     23 32 33     35 35 33     38 24 35     31 28 36 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).

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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  
  33 31 28  
  23 32 33  
  35 35 33  
  38 24 35  
  31 28 36

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).

 
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