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 25 21     20 26 26     32 29 26     35 18 28     28 22 29   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).   The p-value is: less than .01 between .01 and .025 between .025 and .05 between .05 and .10 greater than .10   What is your conclusion? Conclude that the mean yields for the three temperatures are not all equal Do 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 25 21  
  20 26 26  
  32 29 26  
  35 18 28  
  28 22 29  

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).

 

The p-value is:

less than .01

between .01 and .025

between .025 and .05

between .05 and .10

greater than .10

 

What is your conclusion?

Conclude that the mean yields for the three temperatures are not all equal

Do not reject the assumption that the mean yields for the three temperatures are equal

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