To study the effect of temperature on yield in a chemical process, five batches
ID: 3242540 • Letter: T
Question
To study the effect of temperature on yield in a chemical process, five batches were produced at each of the three temperature levels. The results are as follows: Temperature 50°C 60°C 70°C 34 30 23 24 31 28 36 34 28 39 23 30 32 27 31 a.Construct an analysis of variance table (to 2 decimals, if necessary). Source of Variation Sum of Square Degrees of Freedom Mean Square F Treatments Answer Answer Answer Answer Error Answer Answer Answer Total Answer Answer b. Use a 0.05 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). Answer The p-value is Answer What is your conclusion? Answer
Explanation / Answer
Answer:
To study the effect of temperature on yield in a chemical process, five batches were produced at each of the three temperature levels. The results are as follows:
Temperature
50°C 60°C 70°C
34 30 23
24 31 28
36 34 28
39 23 30
32 27 31
a.Construct an analysis of variance table (to 2 decimals, if necessary). Source of Variation Sum of Square Degrees of Freedom Mean Square F Treatments Answer Answer Answer Answer Error Answer Answer Answer Total Answer Answer
One factor ANOVA
Mean
n
Std. Dev
33.0
5
5.66
50°C
29.0
5
4.18
60°C
28.0
5
3.08
70°C
30.0
15
4.68
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
70.00
2
35.00
1.78
.2104
Error
236.00
12
19.67
Total
306.00
14
b. Use a 0.05 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). Answer F=1.78
The p-value is Answer P=0.2104
What is your conclusion? Answer
Ho is not rejected. There is no evidence to conclude that the temperature level has an effect on the mean yield of the process.
One factor ANOVA
Mean
n
Std. Dev
33.0
5
5.66
50°C
29.0
5
4.18
60°C
28.0
5
3.08
70°C
30.0
15
4.68
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
70.00
2
35.00
1.78
.2104
Error
236.00
12
19.67
Total
306.00
14
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.