Question Help A local chess club claims that the length of time to play a game h
ID: 2906781 • Letter: Q
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Question Help A local chess club claims that the length of time to play a game has a standard deviation of more than 10 minutes. Write sentences describing type I and type Il errors for a hypothesis test of this claim. A type l error will occur if the actual standard deviation of the length of time to play a game is 10 minutes, but you the null hypothesis A type ll error will occur if the actual standard deviation of the length of time to play a game is T? the null hypothesis. 10 minutes, but youExplanation / Answer
Probability of type I error = P[ Reject Ho when Ho is True]
Probability of type II error = P[ Accept Ho when Ho is False]
claim is length of time has a standard deviation(S) is more than 10 minutes
Then the null hypothesis Ho: S =10 against Ha: S>10
A type I error will occur if the actual standard deviation of the length of time to play a game is equal to 10 minutes , but you reject null hypothesis, when null is true.
A type II error will occur if the actual standard deviation of the length of time to play a game is more than 10 minutes , but you accept the null hypothesis, when null is false.
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