Question

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 35 29 24 25 30 29 37 33 29 40 22 31 33 26 32 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 2 Error 12 Total 14 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 between .01 and .025 What is your conclusion? Do not reject the assumption that the mean yields for the three temperatures are equal

          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
35 29 24
25 30 29
37 33 29
40 22 31
33 26 32

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 2
Error 12
Total 14

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 between .01 and .025
What is your conclusion?
Do not reject the assumption that the mean yields for the three temperatures are equal

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
35 29 24
25 30 29
37 33 29
40 22 31
33 26 32

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 2
Error 12
Total 14

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 between .01 and .025
What is your conclusion?
Do not reject the assumption that the mean yields for the three temperatures are equal

Added by Jacob P.

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