DOE and the Coffee Strength Experiment The first analysis of the data demonstrat
ID: 3311777 • Letter: D
Question
DOE and the Coffee Strength Experiment
The first analysis of the data demonstrates that some of the factors have a significant affect on the response variable. For example, under the Effect Summary Table, you can see that a P value is calculated for each factor. Three factors are significant: charge, station, and time. Temperature and grind do not have a significant effect on the response variable.
At this point, it is useful to conduct an ANOVA.
Click on the red triangle next to Response Strength and select Regression Reports > Analysis of Variance. The results will open within the platform.
What is the null hypothesis for the Model?
What is the alternate hypothesis for the Model?
What is the F ratio?
15.811
What is the P value? Interpret the P value for the Model.
Prob > F
0.004
Follow the directions in the pdf to Reduce the Model (page 50). It should be stated that by reducing the model (i.e, eliminating the factors that are not significant), you will improve the precision and therefore, improve any predictions for future experiments or steps to take in conducting the process you studied. Or, in other words, how to make a great cup of coffee!
Another ANOVA on the Reduced Model is in order.
Click on the red triangle next to Response Strength and select Regression Reports > Analysis of Variance. The results will open within the platform.
What is the null hypothesis for the Model?
What is the alternate hypothesis for the Model?
What is the F ratio?
29.8040
What is the P value? Interpret the P value for the Model?
Prob > F
Explanation / Answer
What is the null hypothesis for the Model?
H0: The mean values of the response variable do not differ signficantly across the groups
What is the alternate hypothesis for the Model?
H1: The mean values of the response variable differ signficantly across the groups , atleast for 2 groups
What is the F ratio?
15.811
F ratio is calculated as the ration of Mean sqaure value of Factor1/Factor2 or factor1/ interaction effect , dependeing upon which F ratio is considered. There is no table given in the qyestion
What is the P value? Interpret the P value for the Model.
Prob > F
0.004
assuming an alpha of 0.05 , as the p value is less than 0.05 we reject the null hypothesis in favor of alternate hypothesis to conclude that the temperature and grind have signficant effect
if p value < alpha , reject the null hypothesis
if p value >alpha , fail to reject the null hypothesis
Please note that we can answer only 4 subaprts of a question at a time , as per the answering guidelines.
But if you follow the concept the 2 question is exactly the same
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.