o 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 34 31 24 23 32 28 37 34 27 38 23 30 28 25 36 Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative hypotheses. H0: ?50°C = ?60°C = ?70°C Ha: Not all the population means are equal.H0: Not all the population means are equal. Ha: ?50°C = ?60°C = ?70°C H0: ?50°C ≠ ?60°C ≠ ?70°C Ha: ?50°C = ?60°C = ?70°CH0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?50°C = ?60°C = ?70°C Ha: ?50°C ≠ ?60°C ≠ ?70°C Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
o 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 34 31 24 23 32 28 37 34 27 38 23 30 28 25 36 Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. State the null and alternative hypotheses. H0: ?50°C = ?60°C = ?70°C Ha: Not all the population means are equal.H0: Not all the population means are equal. Ha: ?50°C = ?60°C = ?70°C H0: ?50°C ≠ ?60°C ≠ ?70°C Ha: ?50°C = ?60°C = ?70°CH0: At least two of the population means are equal. Ha: At least two of the population means are different.H0: ?50°C = ?60°C = ?70°C Ha: ?50°C ≠ ?60°C ≠ ?70°C Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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 |
34 | 31 | 24 |
23 | 32 | 28 |
37 | 34 | 27 |
38 | 23 | 30 |
28 | 25 | 36 |
Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source of Variation |
Sum of Squares |
Degrees of Freedom |
Square |
F | p-value |
---|---|---|---|---|---|
Treatments | |||||
Error | |||||
Total |
Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
State the null and alternative hypotheses.
H0: ?50°C = ?60°C = ?70°C
Ha: Not all the population means are equal.H0: Not all the population means are equal.
Ha: ?50°C = ?60°C = ?70°C H0: ?50°C ≠ ?60°C ≠ ?70°C
Ha: ?50°C = ?60°C = ?70°CH0: At least two of the population means are equal.
Ha: At least two of the population means are different.H0: ?50°C = ?60°C = ?70°C
Ha: ?50°C ≠ ?60°C ≠ ?70°C
Ha: Not all the population means are equal.H0: Not all the population means are equal.
Ha: ?50°C = ?60°C = ?70°C H0: ?50°C ≠ ?60°C ≠ ?70°C
Ha: ?50°C = ?60°C = ?70°CH0: At least two of the population means are equal.
Ha: At least two of the population means are different.H0: ?50°C = ?60°C = ?70°C
Ha: ?50°C ≠ ?60°C ≠ ?70°C
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Do not reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal. Reject H0. There is sufficient evidence to conclude that the mean yields for the three temperatures are not equal.Reject H0. There is not sufficient evidence to conclude that the mean yields for the three temperatures are not equal.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman