To study the effect of temperature on yield in a chemical process, five batches
ID: 3149698 • Letter: T
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
50C 60C 70C
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 Squares Degrees of Freedom Mean Square F
Treatments
Error
Total
b. Use a .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).
The p-value is (than .01between .01 and .025between .025 and .05between .05 and .10greater than .10)
What is your conclusion?
Explanation / Answer
F = 1.780
P = .21
Critical F(2,12) = 3.89
Reject Ho; temp does have an effect
Total sum of squares = 279.33
Sum of squares between groups =
Sum of squares within groups = 279.33-43.33 = 236
The computed value of F is 1.1017 which does not exceed the critical value of F
The p-value 0.3637 is not less than the level of significance 0.05.
We cannot reject the null hypothesis. The data does not support the alternative hypothesis.
Conclusion: The temperature level has no effect on the mean yield of the process.
Note: The statistic used here is F and not T.
The value of F statistic is 1.1017
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.