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     30 34 27     20 35 32     32 38 32     35 27 34     28 31 35   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 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 -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10 What is your conclusion? - Select your answer -Conclude that the mean yields for the three temperatures are not all equalDo not reject the assumption that the mean yields for the three temperatures are equal

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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  
  30 34 27  
  20 35 32  
  32 38 32  
  35 27 34  
  28 31 35  

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 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 -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10

What is your conclusion?

- Select your answer -Conclude that the mean yields for the three temperatures are not all equalDo not reject the assumption that the mean yields for the three temperatures are equal

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