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
	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

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.