final-review-solutions.pdf

# A true or false if we define x n 1 n i 1 x i then p x

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• carmonaalex12
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(a) True or False: If we define ¯ X = n - 1 n i =1 X i then P( X 1 < 2 - μ ) is the same as P( ¯ X < n - 1 / 2 (2 - μ )) TRUE (b) True or False: Is the Var( ¯ X ) = Var( X n )? FALSE 11. Assume we are carrying out a hypothesis test for the mean of the population distribution using the mean of the sample. (a) True or False: The critical value/size of rejection region is effected by the sample size. TRUE (b) True or False: If the sample mean remains constant, but the sample size increases then the p-value must decrease. FALSE (c) True or False: If the sample mean remains constant, but the sample size increases then the power of the test will increase. TRUE (d) True or False: If we decrease the level of significance then power of the test will increase. TRUE Page 14

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