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Question - Dr. "Artemis" is the Chairman of the Department of Business Analytics of the "Banana University" and she is planning to give a lecture on the Analysis of Variance (ANOVA) and Hypothesis Testing to the Business Analytics Association at the "Meow-Meow" Hotel in San Francisco, California. Please assist her to compute all the necessary results in order to construct the ANOVA Table by employing all necessary information from Table 1 below:
Table 1
FRONT ROW Group
MIDDLE ROW Group
BACK ROW Group
39
33
44
36
29
31
37
38
35
32
1. What do we really test using the concept of one-way ANOVA? State clearly the Null Hypothesis given that the alpha level is a=0.05.
2. Calculate the Mean Squares in between and the Mean Squares within?
3. How would obtain the F calculated? What is its value?
4. What is the Family Error Rate (FER)?
5. What is the probability of making a Type I Error with a=0.05 and a=0.01?
6. What is the meaning of a Type I Error?
7. If the number of Groups from G=3 is increasing to G=5, can I argue that the probability of making a Type I error will also increase? Carefully explain your answer.
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