o 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     31 25 22     21 26 27     33 29 27     36 18 29     29 22 30   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           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). 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

 
 

31

25

22

 
 

21

26

27

 
 

33

29

27

 
 

36

18

29

 
 

29

22

30

 
  1. 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

 

 

 

 

 
  1. 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).

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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