Consider a game in which there are three players. Call them Player 1, Player 2, and Player 3. Here are the rules: • Each player is supposed to select an integer between 1 and 100. • Player I's number is randomly generated. Player 2 and Player 3 both know that Player 1's number is randomly generated. • The person with the largest number has to pay the other two people the number that each one of them said (i.e. say Player 1 picks 5, Player 2 picks 70 and Player 3 picks 90. In this case, Player 3 pays 5 to Player 1 and 70 to Player 2). Let's suppose you are Player 3. Furthermore, suppose that Player 2 plays optimally. What's the best strategy if you want to maximize profit?
Experiment Analysis of Variance (ANOVA) We can use the analysis of variance to test the hypothesis that different hand being used do not affect the accuracy of the subject hitting the target. Statement of Hypotheses Ho: T1 T2 T3 Compute all Sum of Squares H₁:0 for at least one i SST = a n ΣΣ i=1 j=1 y² N
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