Question

To study the effect of temperature on yield in a chemical process, five batches were produced...

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 30 25
21 31 30
33 34 30
36 23 32
29 27 33

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 .10Item 12

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

Homework Answers

Answer #1

Answer:

We want to test whether the temperature level has an effect on the mean yield of the process.

That is Hypothesis is given by

H0 : the mean yields for the three temperatures are equal against

H1 : the mean yields for the three temperatures are not equal

a) Analysis of variance table

Source of Variation Sum of Squares   Degrees of Freedom Mean Square F    P-value  
Treatments 3.3 2 1.7 0.08 0.919
Error 236.0 12 19.7
Total 239.3 14

b) The P- value is greater than 0.1 level of significance.

p-value >  l.o.s

Hence, Conclude that Do not reject the assumption that the mean yields for the three temperatures are equal.

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