E270 HW6 - HOMEWORK PROBLEM SET 6 1 In a test of...

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HOMEWORK PROBLEM SET 6 1 In a test of hypothesis, the symbol α represents: a) The level of significance, or the probability of not rejecting a false nul hypothesis. b) The level of significance, or the probability of commit ing a Type I er or. c) The power of the test, or the probability of rejecting a false nul hypothesis. d) The level of significance, or the probability of commit ing a Type I er or. 2 Which of the fol owing statements about Type I and Type I er ors is cor ect a) Type I: Reject a true alternative hypothesis. Type I : Do not reject a false alternative. b) Type I: Do not reject a false nul hypothesis. Type I : Reject a true nul hypothesis. c) Type I: Reject a false nul hypothesis. Type I : Reject a true nul hypothesis. d) Type I: Reject a true nul hypothesis. Type I : Do not reject a false nul hypothesis. 3 a) b) c) d) 4 a) 0.1 b) 0.05 c) 0.015 d) 0.0212 5 Consider the fol owing hypothesis test. H1: μ > 120 a) b) c) d) 6 What is the probability value of the test statistic? a) 0.0721 b) 0.0869 c) 0.1038 d) 0.1230 7 a) H : μ ≥ 164 H : μ < 164 b) H : μ ≤ 164 H : μ > 164 c) H : μ > 164 H : μ ≤ 164 d) 8 a) b) c) d) 9 a) b) c) d) 10 a) b) c) d) 11 a) prob-value = 0.0668. Conclude that the 2009 mean salary is not greater than the 2008 mean salary. b) prob-value = 0.0668. Conclude that the 2009 mean salary is greater than the 2008 mean salary. c) prob-value = 0.0334. Conclude that the 2009 mean salary is greater than the 2008 mean salary. d) prob-value = 0.0334. Conclude that the 2009 mean salary is greater than the 2008 mean salary. 12 a) |z| = 1.84. Do not conclude the mean is dif erent from 16. Do not shut the line down. b) |z| = 1.84. Conclude the mean is dif erent from 16. Shut the line down. c) |t| = 1.844. Conclude the mean is dif erent from 16. Shut the line down. d) |t| = 1.844. Do not conclude the mean is dif erent from 16. Do not shut the line down. 13 a) |z| = 1.75. Do not conclude the mean scholarship score of entering students is dif erent from 900. b) c) d) Next TWO questions are based on the fol owing Consider the fol owing hypothesis test. H : μ ≥ 15 H : μ < 15 14 x = 13 ̄ a) |t| = 1.172, cv = 1.721. Do not conclude that the mean is less than 15. b) |t| = 1.172, cv = 1.721. Conclude that the mean is less than 15. c) |t| = 1.273, cv = 2.080. Do not conclude that the mean is less than 15. d) |t| = 1.273, cv = 2.080. Conclude that the mean is less than 15. 15 x = 11.5 ̄ a) |t| = 1.052, cv = 1.721. Do not conclude that the mean is less than 15. b) |t| = 1.052, cv = 2.082. Conclude that the mean is less than 15. c) |t| = 2.052, cv = 1.721. Conclude that the mean is less than 15. d) |t| = 2.052, cv = 2.080. Conclude that the mean is less than 15. 16
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This document was uploaded on 10/27/2011 for the course ECON-E 270 at Indiana.

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