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
	37	31	28
	27	32	33
	39	35	33
	42	24	35
	35	28	36

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 equalItem 13

Answer 1

a)  

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
50°C	5	180	36	32
60°C	5	150	30	17.5
70°C	5	165	33	9.5
ANOVA
Source of Variation	SS	df	MS	F	P-value
Treatment	90	2	45	2.29	0.1439
Error	236	12	19.67
Total	326	14

b) test stats = 2.29

=================

P-value = greater than .10

====================

All the three means are equal , Do not reject the Ho