Two students are playing chess to see if they are equal in ability. The rules ar
ID: 2959565 • Letter: T
Question
Two students are playing chess to see if they are equal in ability. The rules are that seven games will be played, not counting "draws" as games. If either person wins at least six of the games, they agree that they are not of equal chess-playing ability.d.) List the points in the sample space that constitute the critical region.
e.) Find the level of significance
f.) Is the null hypothesis simple of composite.
g.) Is the alternative simple of composite.
h.) What is the equation of the power function?
i.) Is the test unbiased?
j.) What assumptions did you make here?
Explanation / Answer
a) The null hypothesis formulated is that the chess-playing ability of the two students is equal OR there is NO significant difference in the chess-playing ability of the two students b) The alternative hypothesis formulated is that the chess-playing ability of the two students is NOT equal OR there is significant difference in the chess-playing ability of the two students c) Sample space S = (1,2,3,4,5,6,7) d) Points in the critical region 6 and 7 e) Level of significance a = 0.01 or a = 0.05
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