The data below represent customer satisfaction on a scale of 1 to 10 for differe
ID: 3064729 • Letter: T
Question
The data below represent customer satisfaction on a scale of 1 to 10 for different roasts of coffee (Columbian espresso, French mocha, Brazilian, Italian espresso) made in different types of coffee makers (electric, drip, French press).
Coffee maker Co. Esp. Fr. Mocha Brazilian It. Esp
Electric 7.6 6.4 5.5 8.5
6.8 7.4 6.5 5.7
7.1 7.6 6.8 9.2
Drip 8.8 9.9 7.8 8.8
9.6 9.3 7.9 8.3
8.9 8.5 8.2 8.3
French Press 9.8 8.9 9.7 8.3
9.7 9.1 9.5 8.7
9.9 8.8 8.6 8.9
Using 2 way ANOVA give the calculated F for customer satisfaction for: (please answer in order in receive credit). Also be clear which part you are answering in a), b), c) to receive credit.
i) The different roasts
ii) The different coffee makers
iii) The Interaction effect
Does it appear that liking the specific roast is affected by the type of coffee maker (interaction effect). Please answer yes or no.
Why? Give a reason for your answer.
Is the difference significant among the roasts of coffee? Please answer yes or no.
Why? Give a reason for your answer.
Is the difference significant among the types of coffee makers? Please answer yes or no.
Why? Give a reason for your answer.
Use the Tukey multiple comparisons test to show which pairs of roasts or coffee makers show a significant difference. State whether you are using Factor A or Factor B and why. Give the calculations for the Critical Range (give the value of Q, MSE, c, r, n') and show each pair of means that you are comparing. Make a statement about which pairs (in words) show a significant difference.)
Sketch the cell means plot.
Make one statement concerning what your graph shows (something like customers prefer electric coffee makers, etc.)
Explanation / Answer
Roasts are columns
coffee maker - sample
i) The different roasts - 3.089649
ii) The different coffee makers - 27.2433
iii) The Interaction effect - 1.518708
if p-value < 0.05 , then it is significant
Does it appear that liking the specific roast is affected by the type of coffee maker (interaction effect).
No, as p-value > 0.05
Is the difference significant among the roasts of coffee? Please answer yes or no.
Yes , as p-value < 0.05
Is the difference significant among the types of coffee makers? Please answer yes or no.
Yes, as p-value < 0.05
ANOVA Source of Variation SS df MS F P-value F crit Sample 26.56222222 2 13.28111 27.2433 6.68E-07 3.402826 Columns 4.518611111 3 1.506204 3.089649 0.046141 3.008787 Interaction 4.442222222 6 0.74037 1.518708 0.214619 2.508189 Within 11.7 24 0.4875 Total 47.22305556 35Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.