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PvalueProblems

# PvalueProblems - SAMPLE QUESTIONS INVOLVING P-VALUES TAKEN...

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SAMPLE QUESTIONS INVOLVING P-VALUES TAKEN FROM MATH 218, FALL 1999 Problem 1 . For which of the given P-values would the null hypothesis be rejected when performing a level 0 . 05 test? (a) . 001 (b) 0 . 021 (c) 0 . 078 (d) 0 . 047 (e) 0 . 148 Problem 2 . For a test of H 0 : µ 5 versus H a : µ > 5, find the P-value associated with each of the following values of the test statistic. Assume that the population is normally distributed, and that the sample is large. (a) 1 . 4 (b) 0 . 9 (c) 1 . 9 (d) 2 . 4 (e) 0 . 1 Problem 3 . Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 lb/in 2 . Let µ denote the true average pressure. Find the P-value associated with each of the following values of the test statistic for testing H 0 : µ = 30 versus H a : µ = 30. Assume that the population is normally distributed with a known variance. (a) 2 . 1 (b) 1 . 7 (c) = − 0 . 5 (d) 1 . 4 (e) 5 Problem 4 . A researcher collected data and calculated the sample mean and standard devi- ation in order to test H 0 : µ 17 versus H a : µ > 17. Find a range of possible P-values for each of the given values of the test statistic with the given sample size. Assume normality.

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