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
	39	33	30
	29	34	35
	41	37	35
	44	26	37
	37	30	38

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?

Answer 1

Sol:

Install analysis toolpak

Go to Data >Data analysis>ANOVA Single factor

we get

output:

ANOVA
Source of Variation	Sum of Squares	Degrees of freedom	Mean square	F	P-value
Between Groups(Treatments)	90	2	45	2.29	0.1439
Within Groups(Error)	236	12	19.67
Total	326	14

ANOVA
Source of Variation	Sum of Squares	Degrees of freedom	Mean square	F	P-value
Between Groups(Treatments)	90	2	45	2.29	0.1439
Within Groups(Error)	236	12	19.67
Total	326	14

Solution-b:

value of the test statistic = F=2.29

greater than .10

Solution-c:

p>0.05

Do not reject Ho

Conclusion:

There is no effect of temperature on yield in a chemical proces